13 citations · 28 across the 10 of their papers we have counts for
10 papers
Cross Product Bialgebras - Part II
Yuri Bespalov, Bernhard Drabant
This is the central article of a series of three papers on cross product bialgebras. We present a universal theory of bialgebra factorizations (or cross product bialgebras) with co…
Cross Product Bialgebras - Part I
Yuri N. Bespalov, Bernhard Drabant
The subject of this article are cross product bialgebras without co-cycles. We establish a theory characterizing cross product bialgebras universally in terms of projections and in…
Integrals for braided Hopf algebras
Yuri Bespalov, Thomas Kerler, Volodymyr Lyubashenko +1
Let H be a Hopf algebra in a rigid braided monoidal category with split idempotents. We prove the existence of integrals on (in) H characterized by the universal property, employin…
Differential Calculus in Braided Abelian Categories
Yuri Bespalov, Bernhard Drabant
Braided non-commutative differential geometry is studied. In particular we investigate the theory of (bicovariant) differential calculi in braided abelian categories. Previous resu…
Bicovariant Differential Calculi and Cross Products on Braided Hopf Algebras
Yuri Bespalov, Bernhard Drabant
We consider Hopf bimodules and crossed modules over a Hopf algebra in a braided category. They are the key-stones for braided bicovariant differential calculi and their invaria…
Crossed modules and quantum groups in braided categories
Yu. N. Bespalov
Let be a Hopf algebra in a braided category . Crossed modules over are introduced and studied as objects with both module and comodule structures satisfying a compa…