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arXiv · 2109.03984

Howe Duality of Type P

Nicholas Davidson·Jonathan R. Kujawa·Robert Muth
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Abstract

We establish classical and categorical Howe dualities between the Lie superalgebras $\mathfrak{p}(m)$ and $\mathfrak{p}(n)$, for $m,n \geq 1$. We also describe a presentation via generators and relations as well as a Kostant $\mathbb{Z}$-form for the universal enveloping superalgebra $U(\mathfrak{p}(m))$.

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Nicholas Davidson, Jonathan R. Kujawa, Robert Muth. 2021-09-09. Howe Duality of Type P. https://arxiv.org/abs/2109.03984

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