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arXiv · 1409.0827

Rigidity in higher representation theory

Sabin Cautis
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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.

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Sabin Cautis. 2014-09-02. Rigidity in higher representation theory. https://arxiv.org/abs/1409.0827

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