Weak Hopf Algebras: I. Integral Theory and C-Structure
- G. Bòhm, F. Nill, K. Szlachányi
- Mathematics
- 26 May 1998
We give an introduction to the theory of weak Hopf algebras proposed as a coassociative alternative of weak quasi-Hopf algebras. We follow an axiomatic approach keeping as close as possible to the…
Skew-monoidal categories and bialgebroids
- K. Szlachányi
- Mathematics
- 24 January 2012
Bialgebroid actions on depth two extensions and duality
- L. Kadison, K. Szlachányi
- Mathematics
- 15 October 2003
Quantum Chains of Hopf Algebras with Quantum Double Cosymmetry
- F. Nill, K. Szlachányi
- Mathematics
- 12 September 1995
Abstract:Given a finite dimensional C*-Hopf algebra H and its dual Ĥ we construct the infinite crossed product and study its superselection sectors in the framework of algebraic quantum field theory.…
Finite quantum groupoids and inclusions of finite type
- K. Szlachányi
- Mathematics
- 6 November 2000
Bialgebroids, separable bialgebroids, and weak Hopf algebras are compared from a categorical point of view. Then properties of weak Hopf algebras and their applications to finite index and finite…
Finitary Galois extensions over noncommutative bases
- I. Bálint, K. Szlachányi
- Mathematics
- 6 December 2004
Quantum symmetry and braid group statistics inG-spin models
- K. Szlachányi, P. Vecsernyés
- Mathematics
- 1 September 1993
In two-dimensional lattice spin systems in which the spins take values in a finite groupG we find a non-Abelian “parafermion” field of the formorder x disorder that carries an action of the Hopf…
Weak c*-Hopf algebras: the coassociative symmetry of non-integral dimensions
- G. Böhm, K. Szlachányi
- Mathematics
- 1997
By allowing the coproduct to be non-unital and weakening the counit and antipode axioms of a C∗-Hopf algebra too, we obtain a selfdual set of axioms describing a coassociative quantum group, that we…
The monoidal Eilenberg–Moore construction and bialgebroids
- K. Szlachányi
- Mathematics
- 26 August 2002
Weak Hopf Algebras and Reducible Jones Inclusions of Depth 2. I: From Crossed Products to Jones Towers
- F. Nill, K. Szlachányi, H. Wiesbrock
- Mathematics
- 23 June 1998
We apply the theory of finite dimensional weak C � -Hopf algebras A as developed by G. Bohm, F. Nill and K. Szlachanyi (BSz,Sz,N1,N2,BNS) to study reducible inclusion triples of von-Neumann algebras…
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