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Moment graphs and Kazhdan-Lusztig polynomials

By Martina Lanini

Abstract

Abstract. Motivated by a result of Fiebig (2007), we categorify some properties of Kazhdan-Lusztig polynomials via sheaves on Bruhat moment graphs. In order to do this, we develop new techniques and apply them to the combinatorial data encoded in these moment graphs. Résumé. Motivés par un resultat de Fiebig (2007), nous categorifions certaines propriétés des polynômes de Kazhdan-Lusztig en utilisant faisceaux sur les graphes moment de Bruhat. Pour faire ça, nous développons de nouvelles techniques et les appliquons ensuite aux données combinatoires encodées dans ces graphes moment

Topics: Bruhat graphs, moment graphs, Kazhdan-Lusztig polynomials
Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.309.405
Provided by: CiteSeerX
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