Minimal polynomials of Young permutation modules and idempotents
Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We dete...
Ausführliche Beschreibung
Autor*in: |
Gill, Christopher C. [verfasserIn] |
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Format: |
Artikel |
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Sprache: |
Englisch |
Erschienen: |
2016 |
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Schlagwörter: |
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Anmerkung: |
© Springer International Publishing 2016 |
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Übergeordnetes Werk: |
Enthalten in: Archiv der Mathematik - Springer International Publishing, 1948, 107(2016), 2 vom: 07. Juli, Seite 151-158 |
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Übergeordnetes Werk: |
volume:107 ; year:2016 ; number:2 ; day:07 ; month:07 ; pages:151-158 |
Links: |
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DOI / URN: |
10.1007/s00013-016-0936-9 |
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Katalog-ID: |
OLC204924147X |
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10.1007/s00013-016-0936-9 doi (DE-627)OLC204924147X (DE-He213)s00013-016-0936-9-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Gill, Christopher C. verfasserin aut Minimal polynomials of Young permutation modules and idempotents 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing 2016 Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). Young module Algebraic module Minimal polynomial Descent algebra Enthalten in Archiv der Mathematik Springer International Publishing, 1948 107(2016), 2 vom: 07. Juli, Seite 151-158 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:107 year:2016 number:2 day:07 month:07 pages:151-158 https://doi.org/10.1007/s00013-016-0936-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4318 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 107 2016 2 07 07 151-158 |
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10.1007/s00013-016-0936-9 doi (DE-627)OLC204924147X (DE-He213)s00013-016-0936-9-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Gill, Christopher C. verfasserin aut Minimal polynomials of Young permutation modules and idempotents 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing 2016 Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). Young module Algebraic module Minimal polynomial Descent algebra Enthalten in Archiv der Mathematik Springer International Publishing, 1948 107(2016), 2 vom: 07. Juli, Seite 151-158 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:107 year:2016 number:2 day:07 month:07 pages:151-158 https://doi.org/10.1007/s00013-016-0936-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4318 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 107 2016 2 07 07 151-158 |
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10.1007/s00013-016-0936-9 doi (DE-627)OLC204924147X (DE-He213)s00013-016-0936-9-p DE-627 ger DE-627 rakwb eng 510 050 VZ 17,1 ssgn 31.00 bkl Gill, Christopher C. verfasserin aut Minimal polynomials of Young permutation modules and idempotents 2016 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer International Publishing 2016 Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). Young module Algebraic module Minimal polynomial Descent algebra Enthalten in Archiv der Mathematik Springer International Publishing, 1948 107(2016), 2 vom: 07. Juli, Seite 151-158 (DE-627)129061581 (DE-600)475-3 (DE-576)014392364 0003-889X nnns volume:107 year:2016 number:2 day:07 month:07 pages:151-158 https://doi.org/10.1007/s00013-016-0936-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_20 GBV_ILN_24 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_267 GBV_ILN_2004 GBV_ILN_2018 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4318 31.00 Mathematik: Allgemeines Mathematik: Allgemeines VZ AR 107 2016 2 07 07 151-158 |
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Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
abstractGer |
Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
abstract_unstemmed |
Abstract Applying an epimorphism of the Solomon descent algebra onto the subring of the Green ring spanned by the isomorphism classes of Young permutation modules, we determine a basis of primitive orthogonal idempotents which diagonalise the multiplication maps of Young permutation modules. We determine direct sum decompositions of tensor products of hook Young permutation modules, the minimal polynomials of all Young permutation modules, and of the Young module Y(r−1,1). © Springer International Publishing 2016 |
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Minimal polynomials of Young permutation modules and idempotents |
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https://doi.org/10.1007/s00013-016-0936-9 |
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10.1007/s00013-016-0936-9 |
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2024-07-03T22:01:28.868Z |
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