4 papers
Lecture notes on Nichols algebras
Simon D. Lentner
These are lecture notes for an introductory course on Nichols algebras. As a main reference, I work with the book by Heckenberger and Schneider, but I want to take a distinct categ…
Nichols algebras, tensor categories and Kazhdan-Lusztig correspondences
Simon D. Lentner
There is a very general picture emerging that conjecturally describes what happens to the representation theory of a vertex algebra if we pass to the kernel $\mathcal…
Coupling a vertex algebra to a large center
Boris L. Feigin, Simon D. Lentner
Suppose a Lie group acts on a vertex algebra . In this article we construct a vertex algebra , which is an extension of by a big central vertex subalgebra ide…
Twisted vertex algebra modules for irregular connections: A case study
Boris L. Feigin, Simon D. Lentner
A vertex algebra with an action of a group comes with a notion of -twisted modules, forming a -crossed braided tensor category. For a Lie group , one might instead wis…