4 papers
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…
Vertex algebras with big center and a Kazhdan-Lusztig Correspondence
Boris L. Feigin, Simon D. Lentner
Certain deformable families of vertex algebras acquire at a limit of the deformation parameter a large center, similar to affine Lie algebras at critical level. Then the vertex alg…