Representation theory in complex rank, II
Representation Theory
2020-05-14 v3
Abstract
This paper is a sequel to arXiv:1401.6321. We define and study representation categories based on Deligne categories Rep(GL_t), Rep(O_t), Rep(Sp_2t), where t is any (non-integer) complex number. Namely, we define complex rank analogs of the parabolic category O and the representation categories of real reductive Lie groups and supergroups, affine Lie algebras, and Yangians. We develop a framework and language for studying these categories, prove basic results about them, and outline a number of directions of further research.
Cite
@article{arxiv.1407.0373,
title = {Representation theory in complex rank, II},
author = {Pavel Etingof},
journal= {arXiv preprint arXiv:1407.0373},
year = {2020}
}
Comments
33 pages, latex