The Heisenberg Lie algebras over an algebraically closed field F of characteristic p > 0 always admit a family of restricted Lie algebras. 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. We describe the infinitesimal restricted deformations of the restricted Lie algebras.
No takes yet. Share an insight, caveat, or question.
Yong Yang (2024) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: