LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	512.2
Title	Kazhdan-Lusztig Cells with Unequal Parameters ([EBook]) / by Cédric Bonnafé.
Author	Bonnafé, Cédric
Other name(s)	SpringerLink (Online service)
Publication	Cham : Springer International Publishing , 2017.
Physical Details	XXV, 348 pages, 28 illus., 15 illus. in color. : online resource.
Series	Algebra and Applications 1572-5553 ; ; 24
ISBN	9783319707365
Summary Note	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 published in 2002. The focus lies on the combinatorics of the partition into cells for general Coxeter groups, with special attention given to induction methods, cellular maps and the role of Lusztig's conjectures. Using only algebraic and combinatorial methods, the author carefully develops proofs, discusses open conjectures, and presents recent research, including a chapter on the action of the cactus group. Kazhdan-Lusztig Cells with Unequal Parameters will appeal to graduate students and researchers interested in related subject areas, such as Lie theory, representation theory, and combinatorics of Coxeter groups. Useful examples and various exercises make this book suitable for self-study and use alongside lecture courses.:
Contents note	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.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-70736-5
Links to Related Works	Subject References: Group theory . Group Theory and Generalizations . Mathematics . Authors: Bonnafé, Cédric . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.2 . 512.2 (DDC 23) .

Catalogue Display

Kazhdan-Lusztig Cells with Unequal Parameters

Reviews