Kazhdan-Lusztig cells with unequal parameters /
This monograph provides a comprehensive introduction to the Kazhdan-Lusztig theory of cells in the broader context of the unequal parameter case. Serving as a useful reference, the present volume offers a synthesis of significant advances made since Lusztig's seminal work on the subject was pub...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
[2017]
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| Series: | Algebras and applications ;
v. 24. |
| Subjects: | |
| Online Access: | CONNECT |
Table of Contents:
- Part I Preliminaries
- 1 Preorders on Bases of Algebras
- 2 Lusztig?s Lemma
- Part II Coxeter Systems, Hecke Algebras
- 3 Coxeter Systems
- 4 Hecke Algebras
- Part III Kazhdan?Lusztig Cells
- 5 The Kazhdan?Lusztig Basis
- 6 Kazhdan?Lusztig Cells
- 7 Semicontinuity
- Part IV General Properties of Cells
- 8 Cells and Parabolic Subgroups
- 9 Descent Sets, Knuth Relations and Vogan Classes
- 10 The Longest Element and Duality in Finite Coxeter Groups
- 11 The Guilhot Induction Process
- 12 Submaximal Cells (Split Case)
- 13 Submaximal Cells (General Case)
- Part V Lusztig?s a-Function
- 14 Lusztig?s Conjectures
- 15 Split and quasi-split cases
- Part VI Applications of Lusztig?s Conjectures
- 16 Miscellanea
- 17 Multiplication by Tw0
- 18 Action of the Cactus Group
- 19 Asymptotic Algebra
- 20 Automorphisms
- Part VII Examples
- 21 Finite Dihedral Groups
- 22 The Symmetric Group
- 23 Affine Weyl Groups of Type A2
- 24 Free Coxeter Groups
- 25 Rank 3
- 26 Some Bibliographical Comments
- Appendices
- A Symmetric Algebras
- B Reflection Subgroups of Coxeter Groups
- References
- Index.
