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Automorphism group and representation of a twisted multi-loop algebra

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Abstract

Let \( \mathcal{G} \) be the complexification of the real Lie algebra so(3) and A = ℂ[t ±11 , t ±12 ] be the Laurent polynomial algebra with commuting variables. Let L(t 1, t 2, 1) = \( \mathcal{G} \)⊕C A be the twisted multi-loop Lie algebra. Recently we have studied the universal central extension, derivations and its vertex operator representations. In the present paper we study the automorphism group and bosonic representations of L(t 1, t 2, 1).

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Authors and Affiliations

  1. Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, 350108, P. R. China

    Cui Chen

  2. Department of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, 350002, P. R. China

    Hai Feng Lian

  3. Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China

    Shao Bin Tan

Authors
  1. Cui Chen
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  2. Hai Feng Lian
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  3. Shao Bin Tan
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Corresponding author

Correspondence to Cui Chen.

Additional information

Supported by National Natural Science Foundation of China (Grant No. 10671160) and the Education Department of Fujian Province (Grant No. JBS07087)

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Chen, C., Lian, H.F. & Tan, S.B. Automorphism group and representation of a twisted multi-loop algebra. Acta. Math. Sin.-English Ser. 26, 143–154 (2010). https://doi.org/10.1007/s10114-010-8062-2

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  • DOI: https://doi.org/10.1007/s10114-010-8062-2

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