On realization of some twisted toroidal Lie algebras

Abstract

Toroidal Lie algebras are generalizations of affine Lie algebras. In 1990, Moody, Rao and Yokonuma gave a presentation for untwisted toroidal Lie algebras. In this paper we give a presentation for the twisted toroidal Lie algebras of type $A$ and $D$ constructed by Fu and Jiang.

Cited by in corpus (3)

• Representations of Twisted Toroidal Lie Algebras from Twisted Modules over Vertex Algebras
• Fermionic realization of twisted toroidal Lie algebras
• Bosonic free field realization of twisted 2-toroidal Lie algebras