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arXiv · 2011.05777

The integral Schur-Weyl-Sergeev duality

Haixia Gu·Zhenhua Li·Yanan Lin
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Abstract

Degenerating the quantum queer Schur superalgebra ${\mathcal{Q}_q(n,r; R)}$ to the case $q=1$, the queer Schur superalgebra ${\mathcal{Q}(n,r)}$ is obtained. In this article, we reconstruct the universal enveloping algebra ${U({\mathfrak{q}_n})}$ of the queer Lie superalgebra ${\mathfrak{q}_n}$ via ${\mathcal{Q}(n,r)}$, and achieve another explanation of the Schur-Weyl-Sergeev duality. Finally, we depict the Schur-Weyl-Sergeev duality over $\mathbb{Z}$.

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BibTeXRIS

Haixia Gu, Zhenhua Li, Yanan Lin. 2020-11-11. The integral Schur-Weyl-Sergeev duality. https://doi.org/10.1016/j.jpaa.2022.107044

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