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arXiv · 1410.0757

Canonical bases for the quantum linear supergroups

Jie Du·Haixia Gu
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Abstract

We give a combinatorial construction for the canonical bases of the $\pm$-parts of the quantum enveloping superalgebra $\bfU(\mathfrak{gl}_{m|n})$ and discuss their relationship with the Kazhdan-Lusztig bases for the quantum Schur superalgebras $\bsS(m|n,r)$ introduced in \cite{DR}. We will also extend this relationship to the induced bases for simple polynomial representations of $\bfU(\mathfrak{gl}_{m|n})$.

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Jie Du, Haixia Gu. 2015-03-04. Canonical bases for the quantum linear supergroups. https://arxiv.org/abs/1410.0757

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