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Structures of not-finitely graded Lie superalgebras. (English) Zbl 1392.17026

Summary: This paper is devoted to investigating the structure theory of a class of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras. In particular, we completely determine the derivation algebras, the automorphism groups and the second cohomology groups of these Lie superalgebras.

MSC:

17B70 Graded Lie (super)algebras
17B68 Virasoro and related algebras
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
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