English

Fermionic realization of toroidal Lie algebras of classical types

Quantum Algebra 2020-09-08 v2 Representation Theory

Abstract

We use fermionic operators to construct toroidal Lie algebras of classical types, including in particular that of symplectic affine algebras, which is first realized by fermions.

Keywords

Cite

@article{arxiv.0807.3056,
  title  = {Fermionic realization of toroidal Lie algebras of classical types},
  author = {Naihuan Jing and Kailash C. Misra},
  journal= {arXiv preprint arXiv:0807.3056},
  year   = {2020}
}

Comments

Updated version to include new fermionic construction for symplectic types

R2 v1 2026-06-21T11:02:20.020Z