English

Fermionic realization of twisted toroidal Lie algebras

Representation Theory 2022-02-01 v2

Abstract

In this paper, we construct a fermionic realization of the twisted toroidal Lie algebra of type A2n1,Dn+1,A2nA_{2n-1}, D_{n+1}, A_{2n} and D4D_4 based on the newly found Moody-Rao-Yokonuma-like presentation.

Keywords

Cite

@article{arxiv.1812.02584,
  title  = {Fermionic realization of twisted toroidal Lie algebras},
  author = {Naihuan Jing and Chad R. Mangum and Kailash C. Misra},
  journal= {arXiv preprint arXiv:1812.02584},
  year   = {2022}
}

Comments

22 pages. Final version. Proof of the MRY presentation upgrades that of arXiv:1605.05300

R2 v1 2026-06-23T06:34:14.834Z