A Trace-Like Invariant for Representations of Hopf Algebras |
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Authors: | Andrea Jedwab |
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Institution: | 1. Department of Mathematics , University of Southern California , Los Angeles, California, USA jedwab@usc.edu |
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Abstract: | We introduce an invariant for the irreducible representations of finite dimensional Hopf algebras, defined as the trace of a map induced by the antipode on the endomorphisms of each corresponding simple module. We also compute the value of this invariant for the representations of two families of non-semisimple Hopf algebras. |
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Keywords: | Hopf algebras Representation theory |
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