Computation by computer of Lie superalgebra homology and cohomology
The authors present a package that is designed to compute homology and cohomology of Lie superalgebras. Since a lot of the properties of Lie superalgebras (such as, e.g., the existence of central extensions, deformations, and exterior derivations) can be expressed in terms of certain cohomology classes, this homology package can be used to investigate such properties. This has been the main motivation for developing the package. Since an ordinary Lie algebra can be considered to be a Lie superalgebra with an odd part equal to zero, the package can also be used to compute homology and cohomology of Lie algebras. They describe most of its features and the implementation in REDUCE.
scientific article; zbMATH DE number 824524