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arXiv · 2503.05879

Cohomology of Restricted Twisted Heisenberg Lie Algebras

Yong Yang
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Abstract

Over an algebraically closed ffeld F of characteristic p>0, the restricted twisted Heisenberg Lie algebras are studied. We use the Hochschild-Serre spectral sequence relative to its Heisenberg ideal to compute the trivial cohomology. The ordinary 1- and 2-cohomology spaces are used to compute the restricted 1- and 2-cohomology spaces and describe the restricted 1-dimensional central extensions, including explicit formulas for the Lie brackets and [p]-operators.

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BibTeXRIS

Yong Yang. 2025-02-10. Cohomology of Restricted Twisted Heisenberg Lie Algebras. https://doi.org/10.1017/prm.2025.10089

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