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7 papers · 1 filter
Root systems and Weyl groupoids for Nichols algebras
I. Heckenberger, H. -J. Schneider
Motivated by work of Kac and Lusztig, we define a root system and a Weyl groupoid for a large class of semisimple Yetter-Drinfeld modules over an arbitrary Hopf algebra. The obtain…
Hopf Powers and Orders for Some Bismash Products
Rachel Landers, Susan Montgomery, Peter Schauenburg
The Hopf order of an element of a Hopf algebra is the least such that the -th Hopf power of is trivial. For some bismash product Hopf algebras obtained from fact…
On Generalized Hopf Galois Extensions
P. Schauenburg, H. -J. Schneider
We investigate criteria for algebra extensions that are of Galois type with respect to the coaction of a Hopf algebra or, more generally, a one-sided quotient of a Hopf algebra, or…
PBW bases for a class of braided Hopf algebras
Stefan Ufer
We prove the existence of a basis of Poincare-Birkhoff-Witt type for braided Hopf algebras R generated by a braided subspace V of P(R) if the braiding on V fulfils a triangularity…
On the Frobenius-Schur indicators for quasi-Hopf algebras
Peter Schauenburg
Mason and Ng have given a generalization to semisimple quasi-Hopf algebras of Linchenko and Montgomery's generalization to semisimple Hopf algebras of the classical Frobenius-Schur…
Chern numbers for two families of noncommutative Hopf fibrations
Piotr M. Hajac, Rainer Matthes, Wojciech Szymanski
We consider noncommutative line bundles associated with the Hopf fibrations of SUq(2) over all Podles spheres and with a locally trivial Hopf fibration of S^3_{pq}. These bundles a…