ar X iv : m at h / 05 11 72 3 v 1 [ m at h . R A ] 3 0 N ov 2 00 5 REALIZATION OF GRADED - SIMPLE ALGEBRAS AS LOOP ALGEBRAS


Multiloop algebras determined by n commuting algebra automor-phisms of finite order are natural generalizations of the classical loop algebras that are used to realize affine Kac-Moody Lie algebras. In this paper, we obtain necessary and sufficient conditions for a Z n-graded algebra to be realized as a multiloop algebra based on a finite dimensional simple… (More)