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Automorphism group and representation of a twisted multi-loop algebra |
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| Authors: | Cui Chen Hai Feng Lian Shao Bin Tan |
| Affiliation: | 1. Department of Mathematics and Physics, Fujian University of Technology, Fuzhou, 350108, P. R. China 2. Department of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou, 350002, P. R. China 3. Department of Mathematics, Xiamen University, Xiamen, 361005, P. R. China |
| Abstract: | Let $ mathcal{G} $ mathcal{G} be the complexification of the real Lie algebra so(3) and A = ℂ[t 1±1, t 2±1] be the Laurent polynomial algebra with commuting variables. Let L(t 1, t 2, 1) = $ mathcal{G} $ 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). |
| Keywords: | Lie algebra automorphism group representation |
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