# Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation

@article{Chen2019TwistedTL, title={Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation}, author={Fulin Chen and Naihuan Jing and Fei Kong and Shaobin Tan}, journal={Science China Mathematics}, year={2019}, pages={1-20} }

Let g be a (twisted or untwisted) affine Kac-Moody algebra, and μ be a diagram automorphism of g. In this paper, we give an explicit realization for the universal central extension ĝ[ μ ] of the twisted loop algebra of g with respect to μ , which provides a Moody-Rao-Yokonuma presentation for the algebra ĝ[ μ ] when μ , is non-transitive, and the presentation is indeed related to the quantization of twisted toroidal Lie algebras.

## 4 Citations

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Given a simple finite-dimensional Lie algebra and an automorphism of finite order, one defines the notion of a twisted toroidal Lie algebra. In this paper, we construct representations of twisted…

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