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- Title
HOPF CYCLIC COHOMOLOGY IN BRAIDED MONOIDAL CATEGORIES.
- Authors
Masoud Khalkhali; Arash Pourka
- Abstract
We extend the formalism of Hopf cyclic cohomology to the context of braided categories. For a Hopf algebra in a braided monoidal abelian category we introduce the notion of stable anti-Yetter-Drinfeld module. We associate a para-cocyclic and a cocyclic object to a braided Hopf algebra endowed with a braided modular pair in involution in the sense of Connes and Moscovici. When the braiding is symmetric the full formalism of Hopf cyclic cohomology with coefficients can be extended to our categorical setting.
- Subjects
HOPF algebras; OPERATIONS (Algebraic topology); BLOWING up (Algebraic geometry); CATEGORIES (Mathematics); HOMOLOGY theory; LIE algebras
- Publication
Homology, Homotopy & Applications, 2010, Vol 12, Issue 1, p111
- ISSN
1532-0073
- Publication type
Article
- DOI
10.4310/HHA.2010.v12.n1.a9