Representations for the restricted Lie color algebras

Details Representations for the restricted Lie color algebras Representations for the restricted Lie color algebras

2010-11-08

arxiv.org/abs/1011.1729v1

Mathematics

Representation Theory

Scientific paper

The generalized p-characters for the restricted Lie color are defined. The
simplicity of the induced modules for the FP triples are determined. As
applications, we have obtained an analogue of the Kac-Weisfiler theorem for the
algebraic Lie color algebra cgl(V), also determined the simplicity of the baby
Verma modules for cgl(V).

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