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Representations for the restricted Lie color algebras

Published 8 Nov 2010 in math.RT | (1011.1729v1)

Abstract: 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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