Motivated by a question on the graded rank of the stalks of the canonical sheaf on a Bruhat graph, we lift some equalities concerning (parabolic) Kazhdan-Lusztig polynomials to this moment graph setting. Our proofs hold also in positive characteristic, under some technical assumptions. (C) 2012 Elsevier Inc. All rights reserved.

Lanini, M. (2012). Kazhdan-Lusztig combinatorics in the moment graph setting. JOURNAL OF ALGEBRA, 370, 152-170 [10.1016/j.jalgebra.2012.07.023].

Kazhdan-Lusztig combinatorics in the moment graph setting

Lanini M.
2012-01-01

Abstract

Motivated by a question on the graded rank of the stalks of the canonical sheaf on a Bruhat graph, we lift some equalities concerning (parabolic) Kazhdan-Lusztig polynomials to this moment graph setting. Our proofs hold also in positive characteristic, under some technical assumptions. (C) 2012 Elsevier Inc. All rights reserved.
2012
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/02 - ALGEBRA
English
Representation theory; Algebraic combinatorics; Kazhdan-Lusztig polynomials; Moment graphs
Lanini, M. (2012). Kazhdan-Lusztig combinatorics in the moment graph setting. JOURNAL OF ALGEBRA, 370, 152-170 [10.1016/j.jalgebra.2012.07.023].
Lanini, M
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/199862
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