Braided homology of quantum groups

Mathematics – Quantum Algebra

Scientific paper

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25 pages, 12 figures. Final version, to appear in Journal of K-theory

Scientific paper

10.1017/is008008021jkt063

We study braided Hochschild and cyclic homology of ribbon algebras in braided
monoidal categories, as introduced by Baez and by Akrami and Majid. We compute
this invariant for several examples coming from quantum groups and braided
groups.

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