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arXiv · 2509.00426

Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras

Yong Yang
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Abstract

Restricted Heisenberg Lie superalgebras are studied over an algebraically closed field F of characteristic p > 2. We use the ordinary 1- and 2-cohomology spaces with trivial coefficients to compute the restricted 2-cohomology spaces. As an application, the corresponding restricted one-dimensional central extensions are described.

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Yong Yang. 2025-08-30. Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras. https://arxiv.org/abs/2509.00426

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