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Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras

Published 30 Aug 2025 in math.RA | (2509.00426v1)

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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