Verfügbarkeit: Polynomial representations of GLn

Polynomial representations of GLn: with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker

Gespeichert in:

Bibliographische Detailangaben
1. Verfasser:	Green, James A. (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Berlin [u.a.] Springer 2007
Ausgabe:	2. corr. and augm. ed.
Schriftenreihe:	Lecture notes in mathematics 830
Schlagworte:	Allgemeine lineare Gruppe Schur-Algebra Darstellung Polynom Lineare Gruppe Darstellung > Mathematik
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. [155] - 157
Beschreibung:	IX, 161 S. graph. Darst.
ISBN:	9783540469445 3540469443

Internformat

MARC


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Datensatz im Suchindex

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adam_text	CONTENTS POLYNOMIAL REPRESENTATIONS OF GL N 1 INTRODUCTION ............................................... 1 2 POLYNOMIAL REPRESENTATIONS OF GL N ( K 11 2.1 NOTATION, ETC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 THE CATEGORIES M K ( N ), M K ( N, R 2.3 THE SCHUR ALGEBRA S K ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 THE MAP E : K * * S K ( N, R 2.5 MODULAR THEORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.6 THE MODULE E * R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.7 CONTRAVARIANT DUALITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.8 A K ( N, R ) AS K -BIMODULE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3 WEIGHTS AND CHARACTERS ................................... 23 3.1 WEIGHTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2 WEIGHT SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3 SOME PROPERTIES OF WEIGHT SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.4 CHARACTERS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.5 IRREDUCIBLE MODULES IN M K ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 4 THE MODULES D ,K ......................................... 33 4.2 * -TABLEAUX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4.3 BIDETERMINANTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4.4 DEFINITION OF D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.5 THE BASIS THEOREM FOR D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4.6 THE CARTER-LUSZTIG LEMMA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.7 SOME CONSEQUENCES OF THE BASIS THEOREM . . . . . . . . . . . . . . . . . . . . 39 4.8 JAMESS CONSTRUCTION OF D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 VIII CONTENTS 5 THE CARTER-LUSZTIG MODULES V ,K .......................... 43 5.1 DEFINITION OF V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 5.2 V ,K IS CARTER-LUSZTIGS WEYL MODULE . . . . . . . . . . . . . . . . . . . . 43 5.3 THE CARTER-LUSZTIG BASIS FOR V ,K . . . . . . . . . . . . . . . . . . . . . . . . . 45 5.4 SOME CONSEQUENCES OF THE BASIS THEOREM . . . . . . . . . . . . . . . . . . . . 47 5.5 CONTRAVARIANT FORMS ON V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 5.6 Z -FORMS OF V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 6 REPRESENTATION THEORY OF THE SYMMETRIC GROUP ............. 53 6.1 THE FUNCTOR F : M K ( N, R ) MOD KG ( R )( R * N ) . . . . . . . . . . . . . 53 6.2 GENERAL THEORY OF THE FUNCTOR F : MOD S * MOD ESE . . . . . . . . . . 55 6.3 APPLICATION I. SPECHT MODULES AND THEIR DUALS . . . . . . . . . . . . . . . 57 6.4 APPLICATION II. IRREDUCIBLE KG ( R )-MODULES, CHAR K = P . . . . . . . 60 6.5 APPLICATION III. THE FUNCTOR F : M K ( N, R ) * M K ( N, R )( N * N ) 65 6.6 APPLICATION IV. SOME THEOREMS ON DECOMPOSITION NUMBERS . . . 67 APPENDIX: SCHENSTED CORRESPONDENCE AND LITTELMANN PATHS A INTRODUCTION ............................................... 73 A.1 PREAMBLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 A.2 THE ROBINSON-SCHENSTED ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . 74 A.3 THE OPERATORS * E C , * F C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 A.4 WHAT IS TO BE DONE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 B THE SCHENSTED PROCESS .................................... 81 B.1 NOTATIONS FOR TABLEAUX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 B.2 THE MAP SCH : I ( N, R ) * T ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 B.3 INSERTING A LETTER INTO A TABLEAU . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 B.4 EXAMPLES OF THE SCHENSTED PROCESS. . . . . . . . . . . . . . . . . . . . . . . . . 85 B.5 PROOF THAT ( µ, U, V ) * X 1 BELONGS TO T ( N, R ) . . . . . . . . . . . . . . . . 88 B.6 THE INVERSE SCHENSTED PROCESS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 B.7 THE LADDER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 C SCHENSTED AND LITTELMANN OPERATORS ....................... 95 C.1 PREAMBLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 C.2 UNWINDING A TABLEAU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 C.3 KNUTHS THEOREM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 C.4 THE IF* PART OF KNUTHS THEOREM. . . . . . . . . . . . . . . . . . . . . . . . . . 107 C.5 LITTELMANN OPERATORS ON TABLEAUX. . . . . . . . . . . . . . . . . . . . . . . . . . 114 C.6 THE PROOF OF PROPOSITION B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 D THEOREM A AND SOME OF ITS CONSEQUENCES .................. 121 D.1 INGREDIENTS FOR THE PROOF OF THEOREM A . . . . . . . . . . . . . . . . . . . . . 121 D.2 PROOF OF THEOREM A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 D.3 PROPERTIES OF THE OPERATOR C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 CONTENTS IX D.4 THE LITTELMANN ALGEBRA L ( N, R ). . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 D.5 THE MODULES M Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 D.6 THE -RECTANGLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 D.7 CANONICAL MAPS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 D.8 THE ALGEBRA STRUCTURE OF L ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 D.9 THE CHARACTER OF M * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 D.10 THE LITTLEWOODRICHARDSON RULE . . . . . . . . . . . . . . . . . . . . . . . . . . 140 D.11 LASCOUX, LECLERC AND THIBON . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 E TABLES ..................................................... 147 E.1 SCHENSTEDS DECOMPOSITION OF I (3 , 3) . . . . . . . . . . . . . . . . . . . . . . . 147 E.2 THE LITTELMANN GRAPH I (3 , 3) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 INDEX OF SYMBOLS .............................................. 151 REFERENCES ..................................................... 155 INDEX .......................................................... 159 PPN: 259778249 TITEL: POLYNOMIAL REPRESENTATIONS OF GLN / WITH AN APPENDIX ON SCHENSTED CORRESPONDENCE AND LITTELMANN PATHS BY K. ERDMANN, J. A. GREEN AND M. SCHOCKER ; J. A. GREEN. - . - SPRINGER BERLIN 2007 ISBN: 978-3-540-46944-5; 3-540-46944-3 BIBLIOGRAPHISCHER DATENSATZ IM SWB-VERBUND
adam_txt	CONTENTS POLYNOMIAL REPRESENTATIONS OF GL N 1 INTRODUCTION . 1 2 POLYNOMIAL REPRESENTATIONS OF GL N ( K 11 2.1 NOTATION, ETC. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.2 THE CATEGORIES M K ( N ), M K ( N, R 2.3 THE SCHUR ALGEBRA S K ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.4 THE MAP E : K * * S K ( N, R 2.5 MODULAR THEORY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.6 THE MODULE E * R . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.7 CONTRAVARIANT DUALITY . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.8 A K ( N, R ) AS K -BIMODULE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21 3 WEIGHTS AND CHARACTERS . 23 3.1 WEIGHTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.2 WEIGHT SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23 3.3 SOME PROPERTIES OF WEIGHT SPACES . . . . . . . . . . . . . . . . . . . . . . . . . . 24 3.4 CHARACTERS. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.5 IRREDUCIBLE MODULES IN M K ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 4 THE MODULES D ,K . 33 4.2 * -TABLEAUX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 4.3 BIDETERMINANTS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4.4 DEFINITION OF D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 4.5 THE BASIS THEOREM FOR D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36 4.6 THE CARTER-LUSZTIG LEMMA . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37 4.7 SOME CONSEQUENCES OF THE BASIS THEOREM . . . . . . . . . . . . . . . . . . . . 39 4.8 JAMESS CONSTRUCTION OF D ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40 VIII CONTENTS 5 THE CARTER-LUSZTIG MODULES V ,K . 43 5.1 DEFINITION OF V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 5.2 V ,K IS CARTER-LUSZTIGS WEYL MODULE . . . . . . . . . . . . . . . . . . . . 43 5.3 THE CARTER-LUSZTIG BASIS FOR V ,K . . . . . . . . . . . . . . . . . . . . . . . . . 45 5.4 SOME CONSEQUENCES OF THE BASIS THEOREM . . . . . . . . . . . . . . . . . . . . 47 5.5 CONTRAVARIANT FORMS ON V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 48 5.6 Z -FORMS OF V ,K . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 6 REPRESENTATION THEORY OF THE SYMMETRIC GROUP . 53 6.1 THE FUNCTOR F : M K ( N, R ) MOD KG ( R )( R * N ) . . . . . . . . . . . . . 53 6.2 GENERAL THEORY OF THE FUNCTOR F : MOD S * MOD ESE . . . . . . . . . . 55 6.3 APPLICATION I. SPECHT MODULES AND THEIR DUALS . . . . . . . . . . . . . . . 57 6.4 APPLICATION II. IRREDUCIBLE KG ( R )-MODULES, CHAR K = P . . . . . . . 60 6.5 APPLICATION III. THE FUNCTOR F : M K ( N, R ) * M K ( N, R )( N * N ) 65 6.6 APPLICATION IV. SOME THEOREMS ON DECOMPOSITION NUMBERS . . . 67 APPENDIX: SCHENSTED CORRESPONDENCE AND LITTELMANN PATHS A INTRODUCTION . 73 A.1 PREAMBLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 A.2 THE ROBINSON-SCHENSTED ALGORITHM . . . . . . . . . . . . . . . . . . . . . . . . 74 A.3 THE OPERATORS * E C , * F C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 A.4 WHAT IS TO BE DONE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 B THE SCHENSTED PROCESS . 81 B.1 NOTATIONS FOR TABLEAUX . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 B.2 THE MAP SCH : I ( N, R ) * T ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 81 B.3 INSERTING A LETTER INTO A TABLEAU . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 B.4 EXAMPLES OF THE SCHENSTED PROCESS. . . . . . . . . . . . . . . . . . . . . . . . . 85 B.5 PROOF THAT ( µ, U, V ) * X 1 BELONGS TO T ( N, R ) . . . . . . . . . . . . . . . . 88 B.6 THE INVERSE SCHENSTED PROCESS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 B.7 THE LADDER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 C SCHENSTED AND LITTELMANN OPERATORS . 95 C.1 PREAMBLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 C.2 UNWINDING A TABLEAU . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96 C.3 KNUTHS THEOREM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103 C.4 THE IF* PART OF KNUTHS THEOREM. . . . . . . . . . . . . . . . . . . . . . . . . . 107 C.5 LITTELMANN OPERATORS ON TABLEAUX. . . . . . . . . . . . . . . . . . . . . . . . . . 114 C.6 THE PROOF OF PROPOSITION B . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 116 D THEOREM A AND SOME OF ITS CONSEQUENCES . 121 D.1 INGREDIENTS FOR THE PROOF OF THEOREM A . . . . . . . . . . . . . . . . . . . . . 121 D.2 PROOF OF THEOREM A . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 D.3 PROPERTIES OF THE OPERATOR C . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 CONTENTS IX D.4 THE LITTELMANN ALGEBRA L ( N, R ). . . . . . . . . . . . . . . . . . . . . . . . . . . . 129 D.5 THE MODULES M Q . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131 D.6 THE -RECTANGLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 134 D.7 CANONICAL MAPS . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135 D.8 THE ALGEBRA STRUCTURE OF L ( N, R ) . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 D.9 THE CHARACTER OF M * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 D.10 THE LITTLEWOODRICHARDSON RULE . . . . . . . . . . . . . . . . . . . . . . . . . . 140 D.11 LASCOUX, LECLERC AND THIBON . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 E TABLES . 147 E.1 SCHENSTEDS DECOMPOSITION OF I (3 , 3) . . . . . . . . . . . . . . . . . . . . . . . 147 E.2 THE LITTELMANN GRAPH I (3 , 3) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 148 INDEX OF SYMBOLS . 151 REFERENCES . 155 INDEX . 159 PPN: 259778249 TITEL: POLYNOMIAL REPRESENTATIONS OF GLN / WITH AN APPENDIX ON SCHENSTED CORRESPONDENCE AND LITTELMANN PATHS BY K. ERDMANN, J. A. GREEN AND M. SCHOCKER ; J. A. GREEN. - . - SPRINGER BERLIN 2007 ISBN: 978-3-540-46944-5; 3-540-46944-3 BIBLIOGRAPHISCHER DATENSATZ IM SWB-VERBUND
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illustrated	Illustrated
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indexdate	2024-07-09T20:52:06Z
institution	BVB
isbn	9783540469445 3540469443
language	English
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physical	IX, 161 S. graph. Darst.
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series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spelling	Green, James A. Verfasser aut Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker J. A. Green 2. corr. and augm. ed. Berlin [u.a.] Springer 2007 IX, 161 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 830 Literaturverz. S. [155] - 157 Allgemeine lineare Gruppe (DE-588)4284587-7 gnd rswk-swf Schur-Algebra (DE-588)4180242-1 gnd rswk-swf Darstellung (DE-588)4200624-7 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Lineare Gruppe (DE-588)4138778-8 gnd rswk-swf Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Schur-Algebra (DE-588)4180242-1 s Lineare Gruppe (DE-588)4138778-8 s Polynom (DE-588)4046711-9 s Darstellung (DE-588)4200624-7 s 1\p DE-604 Allgemeine lineare Gruppe (DE-588)4284587-7 s Darstellung Mathematik (DE-588)4128289-9 s 2\p DE-604 Lecture notes in mathematics 830 (DE-604)BV000676446 830 SWB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015405033&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Green, James A. Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker Lecture notes in mathematics Allgemeine lineare Gruppe (DE-588)4284587-7 gnd Schur-Algebra (DE-588)4180242-1 gnd Darstellung (DE-588)4200624-7 gnd Polynom (DE-588)4046711-9 gnd Lineare Gruppe (DE-588)4138778-8 gnd Darstellung Mathematik (DE-588)4128289-9 gnd
subject_GND	(DE-588)4284587-7 (DE-588)4180242-1 (DE-588)4200624-7 (DE-588)4046711-9 (DE-588)4138778-8 (DE-588)4128289-9
title	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker
title_auth	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker
title_exact_search	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker
title_exact_search_txtP	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker
title_full	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker J. A. Green
title_fullStr	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker J. A. Green
title_full_unstemmed	Polynomial representations of GLn with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker J. A. Green
title_short	Polynomial representations of GLn
title_sort	polynomial representations of gln with an appendix on schensted correspondence and littelmann paths by k erdmann j a green and m schocker
title_sub	with an appendix on Schensted correspondence and Littelmann paths by K. Erdmann, J.A. Green and M. Schocker
topic	Allgemeine lineare Gruppe (DE-588)4284587-7 gnd Schur-Algebra (DE-588)4180242-1 gnd Darstellung (DE-588)4200624-7 gnd Polynom (DE-588)4046711-9 gnd Lineare Gruppe (DE-588)4138778-8 gnd Darstellung Mathematik (DE-588)4128289-9 gnd
topic_facet	Allgemeine lineare Gruppe Schur-Algebra Darstellung Polynom Lineare Gruppe Darstellung Mathematik
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015405033&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000676446
work_keys_str_mv	AT greenjamesa polynomialrepresentationsofglnwithanappendixonschenstedcorrespondenceandlittelmannpathsbykerdmannjagreenandmschocker

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