I am studying Lie superalgebrs and need the concept of semidirect product for the case of Lie superalgebras. May you please give me some information on that.
2025-01-13 08:00:21.1736755221
Semidirect product of Lie superalgebras
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See for example the article Non-abelian tensor product and homology of Lie superalgebras by Garcia-Martinez et al, Definition 2.2. It is quite similar to the case of Lie algebras. The article A Sketch of L ie Superalgebra Theory of V. Kac describes the semidirect product as follows (page 33):"Direct and semidirect sum of superalgebras is defined as usual."