Graded q-Schur algebras

2009/03/20 by Susumu Ariki, Ariki, Susumu · 1 citation
Mathematics · #17B37 #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 #msc:17B37

paper · pdf · doi:10.48550/arxiv.0903.3453

25 pages, (v2) added details of the proof, (v3) have changed notations to standard ones and corrected various confusions

openalex publication_date 2009/03/20 · arxiv created 2011/03/02 · arxiv updated 2011/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Generalizing recent work of Brundan and Kleshchev, we introduce grading on Dipper-James' q-Schur algebra, and prove a graded analogue of the Leclerc and Thibon's conjecture on the decomposition numbers of the q-Schur algebra when q²≠1 and q³≠1.

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