4 papers · 1 filter
Integral Theory for Quasi-Hopf Algebras
Frank Hausser, Florian Nill
We generalize the fundamental structure Theorem on Hopf (bi)-modules by Larson and Sweedler to quasi-Hopf algebras H. If H is finite dimensional this proves the existence and uniqu…
Weak Hopf Algebras and Reducible Jones Inclusions of Depth 2. I: From Crossed products to Jones towers
Florian Nill, Kornel Szlachanyi, Hans-Werner Wiesbrock
We apply the theory of finite dimensional weak C^*-Hopf algebras A as developed by G. Böhm, F. Nill and K. Szlachányi to study reducible inclusion triples of von-Neumann algebras N…
Axioms for Weak Bialgebras
Florian Nill
Let A be a finite dimensional unital associative algebra over a field K, which is also equipped with a coassociative counital coalgebra structure (Δ,\eps). A is called a Weak Bialg…
Weak Hopf Algebras I: Integral Theory and C^*-structure
G. Bohm, F. Nill, K. Szlachanyi
We give an introduction to the theory of weak Hopf algebras proposed recently as a coassociative alternative of weak quasi-Hopf algebras. We follow an axiomatic approach keeping as…