Braided homology for quantum groups

Hadfield, T. and Kraehmer, U. (2009) Braided homology for quantum groups. Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 4, pp. 299-332. (doi: 10.1017/is008008021jkt063)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Kraehmer, Dr Ulrich
• Authors: Hadfield, T., and Kraehmer, U.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology
• Journal Abbr.: J. K-Theory
• ISSN: 1865-2433
• ISSN (Online): 1865-5394