Automorphism Group and Representation of a Twisted Multi-loop Algebra

National Natural Science Foundation of China [10671160]; Education Department of Fujian Province [JBS07087]Let 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) = G circle times(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)