Abstract
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.
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Acknowledgements
This work was supported by National Natural Science Foundation of China (Grant Nos. 11531004 and 11701183), the Fundamental Research Funds for the Central Universities (Grant No. 20720190069) and the Simons Foundation (Grant No. 198129).
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Chen, F., Jing, N., Kong, F. et al. Twisted toroidal Lie algebras and Moody-Rao-Yokonuma presentation. Sci. China Math. 64, 1181–1200 (2021). https://doi.org/10.1007/s11425-019-1615-x
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DOI: https://doi.org/10.1007/s11425-019-1615-x