Double Construction for Crossed Hopf Coalgebras

Details Double Construction for Crossed Hopf Coalgebras Double Construction for Crossed Hopf Coalgebras

2002-12-14

arxiv.org/abs/math/0212192v1

Mathematics

Quantum Algebra

22 pages, latex

Scientific paper

We provide an analog of the Drinfeld quantum double construction in the
context of crossed Hopf group coalgebras introduced by Turaev. We prove that,
provided the base group is finite, the double of a semisimple crossed Hopf
group coalgebra is both modular and unimodular.

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