Semisimplicity of cellular algebras over positive characteristic fields

Details Semisimplicity of cellular algebras over positive characteristic fields Semisimplicity of cellular algebras over positive characteristic fields

2008-03-02

arxiv.org/abs/0803.0133v1

Mathematics

Combinatorics

Scientific paper

In this paper, we investigate semisimplicity of cellular algebras over
positive characteristic fields. Our main result shows that the Frame number of
cellular algebras characterizes semisimplicity of it. In a sense, this is a
generalization of Maschke's theorem.

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