English

Diagram automorphisms and Rank-Level duality

Representation Theory 2013-08-09 v1 Quantum Algebra

Abstract

We study the effect of diagram automorphisms on rank-level duality. We use it to prove new symplectic rank-level dualities on genus zero smooth curves with marked points and chosen coordinates. We also show that rank-level dualities for the pair sl(r), sl(s) in genus 0 arising from representation theory can also be obtained from the parabolic strange duality proved by R. Oudompheng.

Keywords

Cite

@article{arxiv.1308.1756,
  title  = {Diagram automorphisms and Rank-Level duality},
  author = {Swarnava Mukhopadhyay},
  journal= {arXiv preprint arXiv:1308.1756},
  year   = {2013}
}
R2 v1 2026-06-22T01:05:54.622Z