Generalized Verma modules over some Block algebras

Abstract

In this paper, a class of generalized Verma modules M(V) over some Block type Lie algebra ℬ(G) are constructed, which are induced from nontrivial simple modules V over a subalgebra of ℬ(G). The irreducibility of M(V) is determined.

Keywords

Lie algebra of Block type / generalized Verma module / irreducible module

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