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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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Graded decomposition matrices of $v$-Schur algebras via Jantzen filtration
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by Peng Shan PDF
Represent. Theory 16 (2012), 212-269 Request permission

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
  • Received by editor(s): March 27, 2011
  • Published electronically: April 30, 2012
  • © Copyright 2012 American Mathematical Society
  • Journal: Represent. Theory 16 (2012), 212-269
  • MSC (2010): Primary 20G43
  • DOI: https://doi.org/10.1090/S1088-4165-2012-00416-2
  • MathSciNet review: 2915315