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arXiv · 1304.5757

Blocks of affine quantum Schur algebras

Qiang Fu
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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.

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Qiang Fu. 2013-04-21. Blocks of affine quantum Schur algebras. https://arxiv.org/abs/1304.5757

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