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

2016/05/10 by Juanjuan Li, Li, Juanjuan, Guangzhe Fan +1
Mathematics · #17B05 #17B40 #17B65 #17B68 #17B70 #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA #msc:17B05 #msc:17B40 #msc:17B65 #msc:17B68 #msc:17B70

paper · pdf · doi:10.48550/arxiv.1605.03044

13 pages

arxiv created 2016/07/16 · arxiv updated 2016/07/19

Abstract

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.

Related

• Structures of not-finitely graded Lie algebras related to generalized Virasoro algebras
• Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras
• Finite-dimensional subalgebras of the Virasoro algebra
• Local derivations and local automorphisms on the super Virasoro algebras
• Lie bialgebras of generalized Virasoro-like type