Rigidity in higher representation theory
Representation Theory
2014-09-03 v1 Quantum Algebra
Abstract
We describe a categorical g action, called a (g,theta) action, which is easier to check in practice. Most categorical g actions can be shown to be of this form. The main result is that a (g,theta) action carries actions of quiver Hecke algebras (KLR algebras). We discuss applications of this fact to categorical vertex operators, affine Grassmannians (or Nakajima quiver varieties) and to homological knot invariants.
Cite
@article{arxiv.1409.0827,
title = {Rigidity in higher representation theory},
author = {Sabin Cautis},
journal= {arXiv preprint arXiv:1409.0827},
year = {2014}
}
Comments
49 pages