Structures of not-finitely graded Lie algebras related to generalized   Heisenberg-Virasoro algebras
  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. 
Guangzhe Fan, Chenhong Zhou and Xiaoqing Yue
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