Kazhdan-Lusztig Cells with Unequal Parameters

• Κύριος συγγραφέας: Bonnafé, Cédric (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Έκδοση: 1st ed. 2017.
• Σειρά: Algebra and Applications, 24
• Θέματα: Group theory.; Group Theory and Generalizations.

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...

Πίνακας περιεχομένων:

• 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.