Representation theory in complex rank, II
Name
Etingof_Representation II.pdf
Size
296.12 KB
Format
Adobe PDF
Checksum (MD5)
9b57501754bd9f33e2e84be157c75710
Author(s)
Etingof, Pavel I
Date Issued
May 2016
Journal
Advances in Mathematics
Publisher
Elsevier BV
Citation
Etingof, Pavel. “Representation Theory in Complex Rank, II.” Advances in Mathematics 300 (September 2016): 473–504 © 2016 Elsevier Inc
Version
Author's final manuscript
Abstract
We define and study representation categories based on Deligne categories Rep(GL[subscript t]),Rep(O[subscript t]),Rep(Sp₂t), 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. Keywords: Deligne category; Symmetric tensor category; Complex rank
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-NonCommercial-NoDerivs License
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1016/J.AIM.2016.03.025
