McKay correspondence for semisimple Hopf actions on regular graded algebras, I

In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithfu...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Chan, K. [verfasserIn] Kirkman, E. [verfasserIn] Walton, C. [verfasserIn] Zhang, J.J. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2018

Schlagwörter:	Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant

Übergeordnetes Werk:	Enthalten in: Journal of algebra - San Diego, Calif. : Elsevier, 1964, 508, Seite 512-538
Übergeordnetes Werk:	volume:508 ; pages:512-538

DOI / URN:	10.1016/j.jalgebra.2018.05.008

Katalog-ID:	ELV003405044

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520			\|a In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity.
650		4	\|a Artin–Schelter regular algebras
650		4	\|a Auslander's theorem
650		4	\|a Hopf algebra action
650		4	\|a McKay correspondence
650		4	\|a McKay quiver
650		4	\|a Trivial homological determinant
700	1		\|a Kirkman, E. \|e verfasserin \|0 (orcid)0000-0002-5581-9174 \|4 aut
700	1		\|a Walton, C. \|e verfasserin \|4 aut
700	1		\|a Zhang, J.J. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Journal of algebra \|d San Diego, Calif. : Elsevier, 1964 \|g 508, Seite 512-538 \|h Online-Ressource \|w (DE-627)266890423 \|w (DE-600)1468947-9 \|w (DE-576)10337311X \|x 1090-266X \|7 nnns
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912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2011
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912			\|a GBV_ILN_2020
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912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2038
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912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
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912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
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912			\|a GBV_ILN_2118
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912			\|a GBV_ILN_2143
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912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
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912			\|a GBV_ILN_4324
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912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
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912			\|a GBV_ILN_4367
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
936	b	k	\|a 31.20 \|j Algebra: Allgemeines
951			\|a AR
952			\|d 508 \|h 512-538

Indexfelder

author_variant	k c kc e k ek c w cw j z jz
matchkey_str	article:1090266X:2018----::cacrepnecfreiipeofcinorg
hierarchy_sort_str	2018
bklnumber	31.20
publishDate	2018
allfields	10.1016/j.jalgebra.2018.05.008 doi (DE-627)ELV003405044 (ELSEVIER)S0021-8693(18)30301-6 DE-627 ger DE-627 rda eng 510 DE-600 31.20 bkl Chan, K. verfasserin (orcid)0000-0002-4023-2637 aut McKay correspondence for semisimple Hopf actions on regular graded algebras, I 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity. Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant Kirkman, E. verfasserin (orcid)0000-0002-5581-9174 aut Walton, C. verfasserin aut Zhang, J.J. verfasserin aut Enthalten in Journal of algebra San Diego, Calif. : Elsevier, 1964 508, Seite 512-538 Online-Ressource (DE-627)266890423 (DE-600)1468947-9 (DE-576)10337311X 1090-266X nnns volume:508 pages:512-538 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.20 Algebra: Allgemeines AR 508 512-538
spelling	10.1016/j.jalgebra.2018.05.008 doi (DE-627)ELV003405044 (ELSEVIER)S0021-8693(18)30301-6 DE-627 ger DE-627 rda eng 510 DE-600 31.20 bkl Chan, K. verfasserin (orcid)0000-0002-4023-2637 aut McKay correspondence for semisimple Hopf actions on regular graded algebras, I 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity. Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant Kirkman, E. verfasserin (orcid)0000-0002-5581-9174 aut Walton, C. verfasserin aut Zhang, J.J. verfasserin aut Enthalten in Journal of algebra San Diego, Calif. : Elsevier, 1964 508, Seite 512-538 Online-Ressource (DE-627)266890423 (DE-600)1468947-9 (DE-576)10337311X 1090-266X nnns volume:508 pages:512-538 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.20 Algebra: Allgemeines AR 508 512-538
allfields_unstemmed	10.1016/j.jalgebra.2018.05.008 doi (DE-627)ELV003405044 (ELSEVIER)S0021-8693(18)30301-6 DE-627 ger DE-627 rda eng 510 DE-600 31.20 bkl Chan, K. verfasserin (orcid)0000-0002-4023-2637 aut McKay correspondence for semisimple Hopf actions on regular graded algebras, I 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity. Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant Kirkman, E. verfasserin (orcid)0000-0002-5581-9174 aut Walton, C. verfasserin aut Zhang, J.J. verfasserin aut Enthalten in Journal of algebra San Diego, Calif. : Elsevier, 1964 508, Seite 512-538 Online-Ressource (DE-627)266890423 (DE-600)1468947-9 (DE-576)10337311X 1090-266X nnns volume:508 pages:512-538 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.20 Algebra: Allgemeines AR 508 512-538
allfieldsGer	10.1016/j.jalgebra.2018.05.008 doi (DE-627)ELV003405044 (ELSEVIER)S0021-8693(18)30301-6 DE-627 ger DE-627 rda eng 510 DE-600 31.20 bkl Chan, K. verfasserin (orcid)0000-0002-4023-2637 aut McKay correspondence for semisimple Hopf actions on regular graded algebras, I 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity. Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant Kirkman, E. verfasserin (orcid)0000-0002-5581-9174 aut Walton, C. verfasserin aut Zhang, J.J. verfasserin aut Enthalten in Journal of algebra San Diego, Calif. : Elsevier, 1964 508, Seite 512-538 Online-Ressource (DE-627)266890423 (DE-600)1468947-9 (DE-576)10337311X 1090-266X nnns volume:508 pages:512-538 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.20 Algebra: Allgemeines AR 508 512-538
allfieldsSound	10.1016/j.jalgebra.2018.05.008 doi (DE-627)ELV003405044 (ELSEVIER)S0021-8693(18)30301-6 DE-627 ger DE-627 rda eng 510 DE-600 31.20 bkl Chan, K. verfasserin (orcid)0000-0002-4023-2637 aut McKay correspondence for semisimple Hopf actions on regular graded algebras, I 2018 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity. Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant Kirkman, E. verfasserin (orcid)0000-0002-5581-9174 aut Walton, C. verfasserin aut Zhang, J.J. verfasserin aut Enthalten in Journal of algebra San Diego, Calif. : Elsevier, 1964 508, Seite 512-538 Online-Ressource (DE-627)266890423 (DE-600)1468947-9 (DE-576)10337311X 1090-266X nnns volume:508 pages:512-538 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4393 GBV_ILN_4700 31.20 Algebra: Allgemeines AR 508 512-538
language	English
source	Enthalten in Journal of algebra 508, Seite 512-538 volume:508 pages:512-538
sourceStr	Enthalten in Journal of algebra 508, Seite 512-538 volume:508 pages:512-538
format_phy_str_mv	Article
bklname	Algebra: Allgemeines
institution	findex.gbv.de
topic_facet	Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant
dewey-raw	510
isfreeaccess_bool	false
container_title	Journal of algebra
authorswithroles_txt_mv	Chan, K. @@aut@@ Kirkman, E. @@aut@@ Walton, C. @@aut@@ Zhang, J.J. @@aut@@
publishDateDaySort_date	2018-01-01T00:00:00Z
hierarchy_top_id	266890423
dewey-sort	3510
id	ELV003405044
language_de	englisch
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author	Chan, K.
spellingShingle	Chan, K. ddc 510 bkl 31.20 misc Artin–Schelter regular algebras misc Auslander's theorem misc Hopf algebra action misc McKay correspondence misc McKay quiver misc Trivial homological determinant McKay correspondence for semisimple Hopf actions on regular graded algebras, I
authorStr	Chan, K.
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topic_title	510 DE-600 31.20 bkl McKay correspondence for semisimple Hopf actions on regular graded algebras, I Artin–Schelter regular algebras Auslander's theorem Hopf algebra action McKay correspondence McKay quiver Trivial homological determinant
topic	ddc 510 bkl 31.20 misc Artin–Schelter regular algebras misc Auslander's theorem misc Hopf algebra action misc McKay correspondence misc McKay quiver misc Trivial homological determinant
topic_unstemmed	ddc 510 bkl 31.20 misc Artin–Schelter regular algebras misc Auslander's theorem misc Hopf algebra action misc McKay correspondence misc McKay quiver misc Trivial homological determinant
topic_browse	ddc 510 bkl 31.20 misc Artin–Schelter regular algebras misc Auslander's theorem misc Hopf algebra action misc McKay correspondence misc McKay quiver misc Trivial homological determinant
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title	McKay correspondence for semisimple Hopf actions on regular graded algebras, I
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title_full	McKay correspondence for semisimple Hopf actions on regular graded algebras, I
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author_browse	Chan, K. Kirkman, E. Walton, C. Zhang, J.J.
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title_sort	mckay correspondence for semisimple hopf actions on regular graded algebras, i
title_auth	McKay correspondence for semisimple Hopf actions on regular graded algebras, I
abstract	In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity.
abstractGer	In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity.
abstract_unstemmed	In establishing a more general version of the McKay correspondence, we prove Auslander's theorem for actions of semisimple Hopf algebras H on noncommutative Artin–Schelter regular algebras A of global dimension two, where A is a graded H-module algebra, and the Hopf action on A is inner faithful with trivial homological determinant. We also show that each fixed ring A H under such an action arises as an analogue of a coordinate ring of a Kleinian singularity.
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title_short	McKay correspondence for semisimple Hopf actions on regular graded algebras, I
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doi_str	10.1016/j.jalgebra.2018.05.008
up_date	2024-07-06T19:30:22.392Z
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McKay correspondence for semisimple Hopf actions on regular graded algebras, I

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