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Representation Theory

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Graded decomposition matrices of $v$-Schur algebras via Jantzen filtration

Author: Peng Shan
Journal: Represent. Theory 16 (2012), 212-269
MSC (2010): Primary 20G43
Published electronically: April 30, 2012
MathSciNet review: 2915315
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Abstract: We prove that certain parabolic Kazhdan-Lusztig polynomials calculate the graded decomposition matrices of $v$-Schur algebras given by the Jantzen filtration of Weyl modules, confirming a conjecture of Leclerc and Thibon.

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Peng Shan
Affiliation: Département de Mathématiques, Université Paris 7, 175 rue du Chevaleret, F-75013 Paris, France

Received by editor(s): March 27, 2011
Published electronically: April 30, 2012
Article copyright: © Copyright 2012 American Mathematical Society