Affiliation:
1. Department of Mathematics , Shanghai University , Shanghai 200444 , P. R. China
Abstract
Abstract
In this paper, a class of non-weight modules over
N
=
1
{N=1}
Lie superalgebras of Block type (without center) is studied. These modules over Ramond algebras of Block type are free of rank 1 when restricted to the universal enveloping algebra of the Cartan subalgebra, while such modules are free of rank 2 over the Neveu–Schwarz algebras of Block type. We present the classification of these modules. Furthermore, the simplicity of these modules is determined.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,General Mathematics
Cited by
3 articles.
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