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

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

2009-10-29

arxiv.org/abs/0910.5570v1

Mathematics

Quantum Algebra

12 pages

Scientific paper

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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