Table of Contents

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   Book Overview
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   Chapter 1 Preorders on Bases of Algebras
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   Chapter 2 Lusztig’s Lemma
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   Chapter 3 Coxeter Systems
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   Chapter 4 Hecke Algebras
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   Chapter 5 The Kazhdan–Lusztig Basis
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   Chapter 6 Kazhdan–Lusztig Cells
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   Chapter 7 Semicontinuity
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   Chapter 8 Cells and Parabolic Subgroups
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    Chapter 9 Descent Sets, Knuth Relations and Vogan Classes
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    Chapter 10 The Longest Element and Duality in Finite Coxeter Groups
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    Chapter 11 The Guilhot Induction Process
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    Chapter 12 Submaximal Cells (Split Case)
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    Chapter 13 Submaximal Cells (General Case)
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    Chapter 14 Lusztig’s Conjectures
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    Chapter 15 Split and Quasi-Split Cases
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    Chapter 16 Miscellanea
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    Chapter 17 Multiplication by $$T_{w_0}$$ T w 0
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    Chapter 18 Action of the Cactus Group
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    Chapter 19 Asymptotic Algebra
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    Chapter 20 Automorphisms
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    Chapter 21 Finite Dihedral Groups
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    Chapter 22 The Symmetric Group
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    Chapter 23 Affine Weyl Groups of Type $${\tilde{A}}_2$$ A ~ 2
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    Chapter 24 Free Coxeter Groups
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    Chapter 25 Rank 3
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    Chapter 26 Some Bibliographical Comments