A class of partially ordered sets called diamonds, that includes all Coxeter groups ordered by Bruhat order, is introduced. It is shown that the definition of Kazhdan- Lusztig polynomials can be generalized to the framework of diamonds and that they can be used to construct a family of Hecke algebra representations that includes those constructed by Kazhdan and Lusztig and contains several new ones.

Brenti, F., Caselli, F., & Marietti, M. (2006). Diamonds and Hecke algebra representations. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006 [10.1155/IMRN/2006/29407].

Diamonds and Hecke algebra representations

BRENTI, FRANCESCO;
2006

Abstract

A class of partially ordered sets called diamonds, that includes all Coxeter groups ordered by Bruhat order, is introduced. It is shown that the definition of Kazhdan- Lusztig polynomials can be generalized to the framework of diamonds and that they can be used to construct a family of Hecke algebra representations that includes those constructed by Kazhdan and Lusztig and contains several new ones.
Pubblicato
Rilevanza internazionale
Articolo
Sì, ma tipo non specificato
Settore MAT/03 - Geometria
English
KAZHDAN-LUSZTIG POLYNOMIALS
Brenti, F., Caselli, F., & Marietti, M. (2006). Diamonds and Hecke algebra representations. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2006 [10.1155/IMRN/2006/29407].
Brenti, F; Caselli, F; Marietti, M
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/2108/38827
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