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Can I read Braided bi-Galois theory II: The cocommutative case on EtoBox?
Braided bi-Galois theory II: The cocommutative case by Peter Schauenburg is a Mathematics article available to read on EtoBox.
What is Braided bi-Galois theory II: The cocommutative case about?
We study groups of bi-Galois objects over a Hopf algebra H in a braided monoidal category B. We assume H to be cocommutative in a certain sense; this does not mean that H is a cocommutative coalgebra with respect to the braiding given in B, but it is cocommutative with respect to a different braiding subject to specific axioms. The type of cocommutative Hopf algebras under consideration (investigated in previous papers) occurs naturally, for example in Majid's transmutation construction. We show that for cocommutative H the suitably defined cocommutative bi-Galois objects form a subgroup in the group of H-H-bi-Galois objects. We also show that all cocycles on H are lazy, and that second (lazy) cohomology describes the subgroup of cleft bi-Galois extensions in the group of cocommutative ones.
Who reads Braided bi-Galois theory II: The cocommutative case?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Peter Schauenburg
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 2010
- Language
- EN
- Field
- Mathematics (Physical Sciences)