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Representation Theory
Representation Theory
ISSN 1088-4165

 

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
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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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Additional Information

Peng Shan
Affiliation: Département de Mathématiques, Université Paris 7, 175 rue du Chevaleret, F-75013 Paris, France
Email: shan@math.jussieu.fr

DOI: http://dx.doi.org/10.1090/S1088-4165-2012-00416-2
PII: S 1088-4165(2012)00416-2
Received by editor(s): March 27, 2011
Published electronically: April 30, 2012
Article copyright: © Copyright 2012 American Mathematical Society