Projective cell modules of Frobenius cellular algebras
classification
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keywords
cellularcasecellconditionfrobeniusprojectivealgebraalgebras
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For a finite dimensional Frobenius cellular algebra, a sufficient and necessary condition for a simple cell module to be projective is given. A special case that dual bases of the cellular basis satisfying a certain condition is also considered. The result is similar to that in symmetric case.
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