Quasisymmetric functions and Kazhdan-Lusztig polynomials - Mathematics > CombinatoricsReportar como inadecuado




Quasisymmetric functions and Kazhdan-Lusztig polynomials - Mathematics > Combinatorics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: We associate a quasisymmetric function to any Bruhat interval in a generalCoxeter group. This association can be seen to be a morphism of Hopf algebrasto the subalgebra of all peak functions, leading to an extension of thecd-index of convex polytopes. We show how the Kazhdan-Lusztig polynomial of theBruhat interval can be expressed in terms of this complete cd-index andotherwise explicit combinatorially defined polynomials. In particular, weobtain the simplest closed formula for the Kazhdan-Lusztig polynomials thatholds in complete generality.



Autor: Louis J. Billera, Francesco Brenti

Fuente: https://arxiv.org/







Documentos relacionados