TY - BOOK ID - 32940576 TI - Kazhdan-Lusztig Cells with Unequal Parameters PY - 2017 SN - 3319707361 3319707353 PB - Cham : Springer International Publishing : Imprint: Springer, DB - UniCat KW - Mathematics. KW - Group theory. KW - Group Theory and Generalizations. KW - Hecke algebras. KW - Coxeter groups. KW - Representations of algebras. KW - Algebra KW - Coxeter's groups KW - Real reflection groups KW - Reflection groups, Real KW - Group theory KW - Algebras, Hecke KW - Group algebras KW - Groups, Theory of KW - Substitutions (Mathematics) UR - https://www.unicat.be/uniCat?func=search&query=sysid:32940576 AB - 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. ER -