Fan, Guang Zhe et al., Structures of not-finitely graded Lie algebras related to generalized Heisenberg-Virasoro algebras, Acta mathematica Sinica. English series (Print) , 31(10), 2015, pp. 1517-1530
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.