25 citations · 94 across the 25 of their papers we have counts for
6 papers · 1 filter
Hochschild Cohomology and the Modular Group
Simon Lentner, Svea Nora Mierach, Christoph Schweigert +1
It has been shown in previous work that the modular group acts projectively on the center of a factorizable ribbon Hopf algebra. The center is the zeroth Hochschild cohomology grou…
Logarithmic conformal field theories of type and symplectic fermions
I. Flandoli, S. Lentner
There are important conjectures about logarithmic conformal field theories (LCFT), which are constructed as kernel of screening operators acting on the vertex algebra of the rescal…
Three natural subgroups of the Brauer-Picard group of a Hopf algebra with applications
Simon D. Lentner, Jan Priel
In this article we construct three explicit natural subgroups of the Brauer-Picard group of the category of representations of a finite-dimensional Hopf algebra. In examples the Br…
Quantum groups and Nichols algebras acting on conformal field theories
Simon D. Lentner
We prove that certain screening operators in conformal field theory obey the algebra relations of a corresponding Nichols algebra with diagonal braiding. Our result proves in parti…
A family of new Borel subalgebras of quantum groups
S. Lentner, K. Vocke
We construct a family of right coideal subalgebras of quantum groups, which have the property that all irreducible representations are one-dimensional, and which are maximal with t…
The unrolled quantum group inside Lusztig's quantum group of divided powers
Simon D. Lentner
In this letter we prove that the unrolled small quantum group, appearing in quantum topology, is a Hopf subalgebra of Lusztig's quantum group of divided powers. We do so by writing…