ISBN-10:
0821833561
ISBN-13:
9780821833568
Pub. Date:
02/04/2003
Publisher:
American Mathematical Society
Hecke Algebras with Unequal Parameters

Hecke Algebras with Unequal Parameters

by George Lusztig

Hardcover

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Product Details

ISBN-13: 9780821833568
Publisher: American Mathematical Society
Publication date: 02/04/2003
Series: CRM Monograph Series , #18
Pages: 136
Product dimensions: 7.20(w) x 10.20(h) x 0.50(d)

Table of Contents

Introduction1
Chapter 1.Coxeter Groups9
Chapter 2.Partial Order on W19
Chapter 3.The Algebra H23
Chapter 4.The Bar Operator27
Chapter 5.The Elements c[subscript w]31
Chapter 6.Left or Right Multiplication by c[subscript s]35
Chapter 7.Dihedral Groups37
Chapter 8.Cells43
Chapter 9.Cosets of Parabolic Subgroups47
Chapter 10.Inversion53
Chapter 11.The Longest Element for a Finite W57
Chapter 12.Examples of Elements D[subscript w]61
Chapter 13.The Function a63
Chapter 14.Conjectures67
Chapter 15.Example: The Split Case73
Chapter 16.Example: The Quasisplit Case77
Chapter 17.Example: The Infinite Dihedral Case81
Chapter 18.The Ring J85
Chapter 19.Algebras with Trace Form91
Chapter 20.The Function a[subscript E]93
Chapter 21.Study of a Left Cell101
Chapter 22.Constructible Representations105
Chapter 23.Two-Sided Cells117
Chapter 24.Virtual Cells121
Chapter 25.Relative Coxeter Groups125
Chapter 26.Representations127
Chapter 27.A New Realization of Hecke Algebras129
Bibliography135

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