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VOL. 28 | 2000 Factorization of Kazhdan–Lusztig Elements for Grassmanians
Alexander Kirillov, Jr., Alain Lascoux

Editor(s) Kazuhiko Koike, Masaki Kashiwara, Soichi Okada, Itaru Terada, Hiro-Fumi Yamada

Abstract

We show that the Kazhdan–Lusztig basis elements $C_w$ of the Hecke algebra of the symmetric group, when $w \in S_n$ corresponds to a Schubert subvariety of a Grassmann variety, can be written as a product of factors of the form $T_i + f_j(v)$, where $f_j$ are rational functions.

Information

Published: 1 January 2000
First available in Project Euclid: 20 August 2018

zbMATH: 1002.20004
MathSciNet: MR1864480

Digital Object Identifier: 10.2969/aspm/02810143

Rights: Copyright © 2000 Mathematical Society of Japan

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