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arXiv · 1211.0671

BLM realization for the integral form of quantum $\frak{gl}_n$

Qiang Fu
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Abstract

Let ${\mathbf U}(n)$ be the quantum enveloping algebra of ${\frak {gl}}_n$ over $\mathbb Q(v)$, where $v$ is an indeterminate. We will use $q$-Schur algebras to realize the integral form of ${\mathbf U}(n)$. Furthermore we will use this result to realize quantum $\frak{gl}_n$ over $k$, where $k$ is a field containing an l-th primitive root $\varepsilon$ of 1 with $l\geq 1$ odd.

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Qiang Fu. 2012-11-04. BLM realization for the integral form of quantum $\frak{gl}_n$. https://arxiv.org/abs/1211.0671

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