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 Kazdhan and Lusztig and contains several new ones.
Diamonds and Hecke algebra representations
CASELLI, FABRIZIO;
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 Kazdhan and Lusztig and contains several new ones.File in questo prodotto:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
