Graded decomposition matrices of 𝑣-Schur algebras via Jantzen filtration

Shan, Peng

doi:10.1090/S1088-4165-2012-00416-2

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

Represent. Theory 16 (2012), 212-269

DOI: https://doi.org/10.1090/S1088-4165-2012-00416-2

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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