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arXiv · 0910.5570

Trace-like invariant for representations of nilpotent liftings of quantum planes

Andrea Jedwab·Leonid Krop
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Abstract

We derive a formula for the trace of the antipode on endomorphism algebras of simple self-dual modules of nilpotent liftings of quantum planes. We show that the trace is equal to the quantum dimension of the module up to a nonzero scalar depending on the simple module.

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Andrea Jedwab, Leonid Krop. 2009-10-29. Trace-like invariant for representations of nilpotent liftings of quantum planes. https://arxiv.org/abs/0910.5570

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