The Hom-Lie Superalgebra Structure On the Super Heisenberg-Virasoro Algebra
Hom-Lie superalgebras are generalized from Hom-Lie algebras.Hom-Lie algebras are a class of anticommutative algebras that satisfy antisymmetric and Hom-Jacobi identity.We attempt to determine all Hom-Lie superalgebra structures on the super Heisenberg-Virasoro algebra.And we prove that there exist some nontriviall Hom-Lie superalgebra structures are on the super Heisenberg-Virasoro algebra.
Super Heisenberg-Virasoro AlgebraHom-Lie superalgebraeven superspace endomorphism
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