Restricted Cohomology of Heisenberg Lie Algebras (2407.09764v2)

Abstract: The Heisenberg Lie algebras over an algebraically closed field F of characteristic p > 0 always admit a family of restricted structures. We use the ordinary 1- and 2-cohomology spaces with adjoint coefficients to compute the restricted 1- and 2-cohomology spaces of these restricted Heisenberg Lie algebras.