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math.QAJul 1, 2008
16
citations (OpenAlex)
authors
  • Naihuan Jing
  • Kailash C. Misra
institutions
  • North Carolina State University
  • South China University of Technology
arXiv abstractPDF
paper

Fermionic realization of toroidal Lie algebras of classical types

arXiv:0807.3056 · doi:10.1016/j.jalgebra.2010.03.021

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.

Updated version to include new fermionic construction for symplectic types

Cited by in corpus (13)

  • Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation
  • Twisted logarithmic modules of free field algebras
  • Toroidal Lie superalgebras and free field representations
  • Fermion realisations of generalised Kac--Moody and Virasoro algebras associated to the two-sphere and the two-torus
  • Representations of Twisted Toroidal Lie Algebras from Twisted Modules over Vertex Algebras
  • Bosonizations of sl2​ and Integrable Hierarchies
  • Fermionic realization of twisted toroidal Lie algebras
  • Lie Superalgebras arising from bosonic representation
  • Vertex representations of toroidal special linear Lie superalgebras
  • Bosonic free field realization of twisted 2-toroidal Lie algebras
  • Modules of the toroidal Lie algebra sl2​
  • Schur-Weyl Duality for Toroidal Algebras of Type A
  • A Wakimoto type realization of toroidal sln+1​
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