Structures of not-finitely graded Lie algebras related to generalized Heisenberg–Virasoro algebras

Abstract

In this paper, we study the structure theory of a class of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras. In particular, the derivation algebras, the automorphism groups and the second cohomology groups of these Lie algebras are determined.

Structures of Not-finitely Graded Lie Superalgebras

“…We must use some new techniques in order to deal with problems associated with not-finitely generated Lie superalgebras. In addition, in [5,19] some authors studied some structures of not-finitely graded Lie algebras. Thus, some methods about those Lie algebras can be applied in this case.…”

Structures of not-finitely graded Lie superalgebras related to generalized super-Virasoro algebras

“…We must use some new techniques in order to deal with problems associated with not-finitely generated Lie superalgebras. In addition, in [1,4] some authors studied some structures of not-finitely graded Lie algebras. Thus, some methods about those Lie algebras can be applied in this case.…”