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arXiv · 1305.1358

A realisation of the quantum linear superalgebra

Jie Du·Haixia Gu
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Abstract

We reconstruct the quantum enveloping superalgebra ${\bf U}(\mathfrak{gl}_{m|n})$ over $\mathbb Q(v)$ via (finite dimensional) quantum Schur superalgebras. In particular, we obtain a new basis containing the standard generators of ${\bf U}(\mathfrak{gl}_{m|n})$ and explicit multiplication formulas between the generators and an arbitrary basis element.

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Jie Du, Haixia Gu. 2013-05-07. A realisation of the quantum linear superalgebra. https://arxiv.org/abs/1305.1358

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