STRUCTURES OF NOT-FINITELY GRADED LIE ALGEBRAS RELATED TO GENERALIZED VIRASORO ALGEBRAS

摘要

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