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Braided homology of quantum groups

Published online by Cambridge University Press:  04 September 2008

Tom Hadfield  and
Ulrich Krähmer
Tom Hadfield
Affiliation:
Thomas.Daniel.Hadfield@gmail.comRoyal Bank of Scotland250 BishopsgateLondon EC2M 4AAUnited Kingdom
Ulrich Krähmer
Affiliation:
ukraehmer@maths.gla.ac.ukUniversity of GlasgowDepartment of MathematicsUniversity GardensG12 8QW Glasgow, UK
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Abstract

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.

Keywords

Hochschild homologycyclic homologybraided homologyquantum groups
Type
Research Article
Information
Journal of K-Theory , Volume 4 , Issue 2 , October 2009 , pp. 299 - 332
Copyright
Copyright © ISOPP 2009

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