Kazhdan-Lusztig cells with unequal parameters. ([2017])

• Record Type: Book
• Further Information: Note: Cédric Bonnafé.
• Authors: Bonnafé, Cédric
• 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.
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2017
• Extent: 1 online resource
• Subjects: 512/.2; Mathematics; Hecke algebras; Coxeter groups; Representations of algebras; MATHEMATICS / Algebra / Intermediate; Coxeter groups; Hecke algebras; Representations of algebras; Group theory; Mathematics -- Algebra -- Abstract; Groups & group theory; Electronic books
• Languages: English
• ISBNs: 9783319707365; 3319707361
• Related ISBNs: 9783319707358; 3319707353
• Notes: Note: Includes bibliographical references and index.; Note: Online resource; title from PDF title page (SpringerLink, viewed May 16, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.