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.


17B70 Graded Lie (super)algebras
17B68 Virasoro and related algebras
17B40 Automorphisms, derivations, other operators for Lie algebras and super algebras
Full Text: arXiv Euclid