13 citations · 14 across the 2 of their papers we have counts for
5 papers
On the representation theory of the Drinfeld double of the Fomin-Kirillov algebra
Barbara Pogorelsky, Cristian Vay
Let be the Drinfeld double of . The simple -modules were described in arXiv:1409.0438. In the present work, we descri…
Verma and simple modules for quantum groups at non-abelian groups
Barbara Pogorelsky, Cristian Vay
The Drinfeld double D of the bosonization of a finite-dimensional Nichols algebra B(V) over a finite non-abelian group G is called a quantum group at a non-abelian group. We introd…
Representations of copointed Hopf algebras arising from the tetrahedron rack
Barbara Pogorelsky, Cristian Vay
We study the copointed Hopf algebras attached to the Nichols algebra of the affine rack $\Aff(\F_4,ω)$, also known as tetrahedron rack, and the 2-cocycle -1. We investigate the so-…
Right Coideal Subalgebras of the Quantum Borel Algebra of type G2
Barbara Pogorelsky
In this paper we describe the right coideal subalgebras containing all group-like elements of the multiparameter quantum group Uq+(g), where g is a simple Lie algebra of type G2, w…
Right coideal subalgebras of quantized universal enveloping algebras of type G2
Barbara Pogorelsky
In this paper we describe the right coideal subalgebras containing all group-like elements of the two-parameter quantum groups Uq(g) and uq(g), where g is a simple Lie algebra of t…