8 citations · 36 across the 18 of their papers we have counts for
5 papers · 2 filters
Dual Bialgebroids for Depth Two Ring Extensions
L. Kadison, K. Szlachanyi
We introduce a general notion of depth two for ring homomorphism N --> M, and derive Morita equivalence of the step one and three centralizers, R = C_M(N) and C = End_{N-M}(M ø_N M…
Hopf algebra actions on strongly separable extensions of depth two
Lars Kadison, Dmitri Nikshych
We bring together ideas in analysis of Hopf *-algebra actions on II_1 subfactors of finite Jones index and algebraic characterizations of Frobenius, Galois and cleft Hopf extension…
An approach to Hopf algebras via Frobenius coordinates II
Lars Kadison, A. A. Stolin
We study a Hopf algebra , which is finitely generated and projective over a commutative ring , as a -Frobenius algebra. We define modular functions in this setting, and pr…
An Approach to Hopf Algebras via Frobenius Coordinates I
Lars Kadison, A. A. Stolin
In Section 1 we introduce Frobenius coordinates in the general setting that includes Hopf subalgebras. In Sections 2 and 3 we review briefly the theories of Frobenius algebras and…
Frobenius extensions and weak Hopf algebras
Lars Kadison, Dmitri Nikshych
We study a symmetric Markov extension of k-algebras N \into M, a certain kind of Frobenius extension with conditional expectation that is tracial on the centralizer and dual bases…