Affine quantum Schur algebras at roots of unity

2012/05/14 by Qiang Fu, Fu, Qiang
Mathematics · Physics and Astronomy · #17B37 #20G05 #20G43 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #math.QA #math.RT #msc:17B37 #msc:20G05 #msc:20G43

paper · pdf · doi:10.48550/arxiv.1205.2997

16 pages, Corollary 3.7 and subsection 4.5 were added

openalex publication_date 2012/05/14 · arxiv created 2012/08/06 · arxiv updated 2012/08/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We will classify finite dimensional irreducible modules for affine quantum Schur algebras at roots of unity and generalize \cite[(6.5f) and (6.5g)]Gr80 to the affine case in this paper.

Related

• Blocks of affine quantum Schur algebras
• q-Schur algebras and quantum Frobenius
• Irreducible representations of q-Schur superalgebras at a root of unity
• Irreducible Modules for the Quantum Affine Algebra U_q(g) and its Borel subalgebra U_q(g)^{≥ 0}
• Quantum affine algebras and affine Hecke algebras