14 citations · 26 across the 4 of their papers we have counts for
5 papers
Quasi-commutative algebras
Alexei Davydov
We characterise algebras commutative with respect to a Yang-Baxter operator (quasi-commutative algebras) in terms of certain cosimplicial complexes. In some cases this characterisa…
Nuclei of categories with tensor products
Alexei Davydov
Following the analogy between algebras (monoids) and monoidal categories the construction of nucleus for non-associative algebras is simulated on the categorical level. Nuclei of c…
Twisted automorphisms of group algebras
Alexei Davydov
We continue the study of twisted automorphisms of Hopf algebras started in "Twisted automorphisms of Hopf algebras". In this paper we concentrate on the group algebra case. We desc…
Twisted automorphisms of Hopf algebras
Alexei Davydov
Twisted homomorphisms of bialgebras are bialgebra homomorphisms from the first into Drinfeld twistings of the second. They possess a composition operation extending composition of…
Splitting of Gysin extensions
A. J. Berrick, A. A. Davydov
Let X --> B be an orientable sphere bundle. Its Gysin sequence exhibits H^*(X) as an extension of H^*(B)-modules. We prove that the class of this extension is the image of a canoni…