Blocks of affine quantum Schur algebras

Abstract

The affine quantum Schur algebra is a certain important infinite dimensional algebra whose representation theory is closely related to that of quantum affine ${\mathfrak{gl}}_n$. Finite dimensional irreducible modules for the affine quantum Schur algebra ${\mathcal{S}}_{△}(n,r{)}_v$ were classified in \cite{DDF}, where $v\in {\mathbb{C}}^{\ast }$ is not a root of unity. We will classify blocks of the affine quantum Schur algebra ${\mathcal{S}}_{△}(n,r{)}_v$ in this paper.

22 pages

References in corpus (2)

• Blocks of cyclotomic Hecke algebras
• Integral affine Schur-Weyl reciprocity