25 citations · 94 across the 25 of their papers we have counts for
35 papers
Higher Fomin-Kirillov algebras are infinite-dimensional
N. Andruskiewitsch, I. Angiono, I. Heckenberger +3
We show that the Fomin--Kirillov algebras are infinite-dimensional for . This answers a question posed by Fomin and Kirillov in 1997. To prove this, we demonstrate t…
Affine at admissible levels and quantum
Thomas Creutzig, Simon D. Lentner
We prove braided tensor equivalences between the categories of weight modules of the affine vertex algebra of at any admissible level and categories associated to…
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…
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…
Modular -Crossed Tambara-Yamagami-like Categories for Even Groups
César Galindo, Simon Lentner, Sven Möller
We explicitly construct nondegenerate braided -crossed tensor categories of the form . They are -…
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…