Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

Abstract

Let $\fg$ be an affine Kac-Moody algebra, and $\mu$ a diagram automorphism of $\fg$. In this paper, we give an explicit realization for the universal central extension $\wh\fg[μ]$ of the twisted loop algebra of $\fg$ related to $\mu$, which provides a Moody-Rao-Yokonuma presentation for the algebra $\wh\fg[μ]$ when $\mu$ is non-transitive, and the presentation is indeed related to the quantization of toroidal Lie algebras.

Cited by in corpus (3)

• Representations of Twisted Toroidal Lie Algebras from Twisted Modules over Vertex Algebras
• Drinfeld type presentations of loop algebras
• Twisted quantum affinizations and quantization of extended affine Lie algebras