Restricted Central Extensions of Restricted Heisenberg Lie Superalgebras

2025/08/30 by Yang, Yong · 1 citation
#17B50 #17B56 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2509.00426

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.

Citations

• On the Cohomology of Restricted Heisenberg Lie Algebras
• Central extensions of restricted Lie superalgebras and classification of p-nilpotent Lie superalgebras in dimension 4
• Central Extensions of Restricted Affine Nilpotent Lie Algebras n₊(A⁽¹⁾₁)(p)
• Restricted cohomology of restricted Lie superalgebras
• Restricted Cohomology of Modular Witt Algebras
• The homology of Heisenberg Lie algebras over fields of characteristic\n two

Cited by

• On the Restricted Cohomology of Twisted Heisenberg Lie Superalgebras

Related

• On the Restricted Cohomology of Twisted Heisenberg Lie Superalgebras
• On the Cohomology of Restricted Heisenberg Lie Algebras
• Restricted Cohomology of Heisenberg Lie Algebras
• Cohomology of Restricted Twisted Heisenberg Lie Algebras
• Restricted cohomology of restricted Lie superalgebras