Graded decomposition matrices of v-Schur algebras via Jantzen filtration

2010/06/08 by Peng Shan, Shan, Peng
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT

paper · pdf · doi:10.48550/arxiv.1006.1545

53 pages

openalex publication_date 2010/06/08 · arxiv created 2011/02/08 · arxiv updated 2011/02/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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