Dual canonical bases, quantum shuffles and q-characters

Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Leclerc, Bernard [verfasserIn]

Format:	Artikel
Sprache:	Englisch

Erschienen:	2004

Schlagwörter:	Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra

Anmerkung:	© Springer-Verlag Berlin Heidelberg 2004

Übergeordnetes Werk:	Enthalten in: Mathematische Zeitschrift - Springer-Verlag, 1918, 246(2004), 4 vom: 14. Jan., Seite 691-732
Übergeordnetes Werk:	volume:246 ; year:2004 ; number:4 ; day:14 ; month:01 ; pages:691-732

Links:	Volltext

DOI / URN:	10.1007/s00209-003-0609-9

Katalog-ID:	OLC2039724028

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allfields	10.1007/s00209-003-0609-9 doi (DE-627)OLC2039724028 (DE-He213)s00209-003-0609-9-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Leclerc, Bernard verfasserin aut Dual canonical bases, quantum shuffles and q-characters 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2004 Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 246(2004), 4 vom: 14. Jan., Seite 691-732 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:246 year:2004 number:4 day:14 month:01 pages:691-732 https://doi.org/10.1007/s00209-003-0609-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4325 GBV_ILN_4700 AR 246 2004 4 14 01 691-732
spelling	10.1007/s00209-003-0609-9 doi (DE-627)OLC2039724028 (DE-He213)s00209-003-0609-9-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Leclerc, Bernard verfasserin aut Dual canonical bases, quantum shuffles and q-characters 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2004 Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 246(2004), 4 vom: 14. Jan., Seite 691-732 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:246 year:2004 number:4 day:14 month:01 pages:691-732 https://doi.org/10.1007/s00209-003-0609-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4325 GBV_ILN_4700 AR 246 2004 4 14 01 691-732
allfields_unstemmed	10.1007/s00209-003-0609-9 doi (DE-627)OLC2039724028 (DE-He213)s00209-003-0609-9-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Leclerc, Bernard verfasserin aut Dual canonical bases, quantum shuffles and q-characters 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2004 Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 246(2004), 4 vom: 14. Jan., Seite 691-732 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:246 year:2004 number:4 day:14 month:01 pages:691-732 https://doi.org/10.1007/s00209-003-0609-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4325 GBV_ILN_4700 AR 246 2004 4 14 01 691-732
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allfieldsSound	10.1007/s00209-003-0609-9 doi (DE-627)OLC2039724028 (DE-He213)s00209-003-0609-9-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Leclerc, Bernard verfasserin aut Dual canonical bases, quantum shuffles and q-characters 2004 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer-Verlag Berlin Heidelberg 2004 Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra Enthalten in Mathematische Zeitschrift Springer-Verlag, 1918 246(2004), 4 vom: 14. Jan., Seite 691-732 (DE-627)129474193 (DE-600)203014-7 (DE-576)014852047 0025-5874 nnns volume:246 year:2004 number:4 day:14 month:01 pages:691-732 https://doi.org/10.1007/s00209-003-0609-9 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_24 GBV_ILN_31 GBV_ILN_40 GBV_ILN_65 GBV_ILN_70 GBV_ILN_100 GBV_ILN_120 GBV_ILN_2002 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2010 GBV_ILN_2012 GBV_ILN_2015 GBV_ILN_2018 GBV_ILN_2020 GBV_ILN_2030 GBV_ILN_2088 GBV_ILN_2409 GBV_ILN_4027 GBV_ILN_4036 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4266 GBV_ILN_4277 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4313 GBV_ILN_4317 GBV_ILN_4318 GBV_ILN_4319 GBV_ILN_4320 GBV_ILN_4325 GBV_ILN_4700 AR 246 2004 4 14 01 691-732
language	English
source	Enthalten in Mathematische Zeitschrift 246(2004), 4 vom: 14. Jan., Seite 691-732 volume:246 year:2004 number:4 day:14 month:01 pages:691-732
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topic_facet	Canonical Basis Irreducible Character Positive Part Dual Canonical Basis Shuffle Algebra
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author	Leclerc, Bernard
spellingShingle	Leclerc, Bernard ddc 510 ssgn 17,1 misc Canonical Basis misc Irreducible Character misc Positive Part misc Dual Canonical Basis misc Shuffle Algebra Dual canonical bases, quantum shuffles and q-characters
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topic	ddc 510 ssgn 17,1 misc Canonical Basis misc Irreducible Character misc Positive Part misc Dual Canonical Basis misc Shuffle Algebra
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title	Dual canonical bases, quantum shuffles and q-characters
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title_full	Dual canonical bases, quantum shuffles and q-characters
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title_sort	dual canonical bases, quantum shuffles and q-characters
title_auth	Dual canonical bases, quantum shuffles and q-characters
abstract	Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. © Springer-Verlag Berlin Heidelberg 2004
abstractGer	Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. © Springer-Verlag Berlin Heidelberg 2004
abstract_unstemmed	Abstract. Rosso and Green have shown how to embed the positive part Uq() of a quantum enveloping algebra Uq() in a quantum shuffle algebra. In this paper we study some properties of the image of the dual canonical basis B* of Uq() under this embedding Φ. This is motivated by the fact that when is of type Ar, the elements of Φ(B*) are q-analogues of irreducible characters of the affine Iwahori-Hecke algebras attached to the groups GL(m) over a p-adic field. © Springer-Verlag Berlin Heidelberg 2004
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title_short	Dual canonical bases, quantum shuffles and q-characters
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