Semisimplicity of cellular algebras over positive characteristic fields
classification
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keywords
algebrascellularsemisimplicitycharacteristicfieldspositivecharacterizesframe
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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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