6 papers · 1 filter
Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups II
Simon Lentner, Svea Nora Mierach, Christoph Schweigert +1
In the first part of this work, we have, for a not necessarily semisimple modular category, generalized the action of the mapping class groups of surfaces on the spaces of conforma…
Modular -Crossed Tambara-Yamagami-like Categories for Even Groups
César Galindo, César Galindo, Simon Lentner +2
We explicitly construct nondegenerate braided -crossed tensor categories of the form . They are -…
A conditional algebraic proof of the logarithmic Kazhdan-Lusztig correspondence
Simon D. Lentner
The logarithmic Kazhdan-Lusztig correspondence is a conjectural equivalence between braided tensor categories of representations of small quantum groups and representations of cert…
Computing -Crossed Extensions and Orbifolds of Vertex Operator Algebras
César Galindo, Simon Lentner, Sven Möller
In this article, we develop tools for computing -crossed extensions of braided tensor categories. Their equivariantisations appear as categories of modules of fixed-point subalg…
Fibre functors and reconstruction of Hopf algebras
Simon Lentner, MartÃn Mombelli
The main objective of the present paper is to present a version of the Tannaka-Krein type reconstruction Theorems: If is an exact faithful monoidal functor of tensor cat…
On Borel subalgebras of quantum groups
Simon D. Lentner, Karolina Vocke
For a quantum group, we study those right coideal subalgebras, for which all irreducible representations are one-dimensional. If a right coideal subalgebra is maximal with this pro…