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Blocks of affine quantum Schur algebras (1304.5757v1)
Published 21 Apr 2013 in math.RT and math.QA
Abstract: The affine quantum Schur algebra is a certain important infinite dimensional algebra whose representation theory is closely related to that of quantum affine $\frak{gl}n$. Finite dimensional irreducible modules for the affine quantum Schur algebra ${\mathcal S}{\vartriangle}(n,r){v}$ were classified in \cite{DDF}, where $v\in{\mathbb C}*$ is not a root of unity. We will classify blocks of the affine quantum Schur algebra ${\mathcal S}{\vartriangle}(n,r)_{v}$ in this paper.