Howe Duality of Type P

IF 0.4 3区数学 Q4 MATHEMATICS Transformation Groups Pub Date : 2024-05-02 DOI:10.1007/s00031-024-09850-7

Nicholas Davidson, Jonathan R. Kujawa, Robert Muth

引用次数: 0

Abstract

We establish classical and categorical Howe dualities between the Lie superalgebras $\mathfrak {p}(m)$ and $\mathfrak {p}(n)$, for $m,n \ge 1$. 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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P 型的豪二重性

对于 $m,n \ge 1$ 而言，我们在烈超代数 $\mathfrak {p}(m)$ 和 $\mathfrak {p}(n)$ 之间建立了经典的和分类的豪对偶性。我们还描述了通过生成器和关系的呈现，以及普遍包络上代数 $U(\mathfrak {p}(m))$ 的 Kostant $\mathbb {Z}$-form.

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Transformation Groups 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

100

审稿时长

9 months

期刊介绍： Transformation Groups will only accept research articles containing new results, complete Proofs, and an abstract. Topics include: Lie groups and Lie algebras; Lie transformation groups and holomorphic transformation groups; Algebraic groups; Invariant theory; Geometry and topology of homogeneous spaces; Discrete subgroups of Lie groups; Quantum groups and enveloping algebras; Group aspects of conformal field theory; Kac-Moody groups and algebras; Lie supergroups and superalgebras.

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