20 citations · 75 across the 12 of their papers we have counts for
12 papers
Right coideal subalgebras of Nichols algebras and the Duflo order on the Weyl groupoid
I. Heckenberger, H. -J. Schneider
We study graded right coideal subalgebras of Nichols algebras of semisimple Yetter-Drinfeld modules. Assuming that the Yetter-Drinfeld module admits all reflections and the Nichols…
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…
The Nichols algebra of a semisimple Yetter-Drinfeld module
N. Andruskiewitsch, I. Heckenberger, H. -J. Schneider
We study the Nichols algebra of a semisimple Yetter-Drinfeld module and introduce new invariants such as real roots. The crucial ingredient is a `reflection' in the class of such N…
Representations Parameterized by a Pair of Characters
David E. Radford, Hans-Jürgen Schneider
Let and be algebras over a field . We study algebra structures on the underlying tensor product of vector spaces which satisfy $(u{\otimes}a)(u'{\otime…
On the irreducible representations of a class of pointed Hopf algebras
David E. Radford, Hans-Jürgen Schneider
We parameterize the finite-dimensional irreducible representations of a class of pointed Hopf algebras over an algebraically closed field of characteristic zero by dominant charact…
Biproducts and Two-Cocycle Twists of Hopf Algebras
David E. Radford, Hans-Jürgen Schneider
Let be a Hopf algebra with bijective antipode over a field and suppose that $R{#}H$ is a bi-product. Then is a bialgebra in the Yetter--Drinfel'd category ${}_H^H{\math…