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

Andrea Jedwab; Leonid Krop

arxiv: 0910.5570 · v1 · submitted 2009-10-29 · 🧮 math.QA · math.RA· math.RT

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

Andrea Jedwab , Leonid Krop This is my paper

classification 🧮 math.QA math.RAmath.RT

keywords quantumliftingsmodulenilpotentplanessimpletracealgebras

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

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