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arXiv · 1508.01920

Presenting affine Schur Algebras

Qiang Fu·Mingqiang Liu
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Abstract

The universal enveloping algebra ${\mathcal U}({\widehat{\frak{gl}}_n})$ of ${\widehat{\frak{gl}}_n}$ was realized in \cite[Ch. 6]{DDF} using affine Schur algebras. In particular some explicit multiplication formulas in affine Schur algebras were derived. We use these formulas to study the structure of affine Schur algebras. In particular, we give a presentation of the affine Schur algebra ${\mathcal S}_{{\!\vartriangle}}(n,r)_{\mathbb Q}$.

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Qiang Fu, Mingqiang Liu. 2015-08-08. Presenting affine Schur Algebras. https://arxiv.org/abs/1508.01920

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