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In a recent paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some representations of these simple Lie algebras of generalized Witt type are presented.

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2005年07月15日

【期刊论文】Derivations and structure of the Lie algebras of Xu type

苏育才， Yucai Su

manuscripta math. 105, 483-500 (2001)，-0001，（）：

-1年11月30日

摘要

We determine the derivation algebras and the isomorphism classes of a family of the simple Lie algebras introduced recently by Xu [manuscripta math. 100, 489-518 (1999)]. The structure space of these algebras is given explicitly.

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2005年07月15日

【期刊论文】Simple Modules over the Higher-Rank Super-Virasoro Algebras

苏育才， YUCAI SU★

Letters in Mathematical Physics 53: 263-272, 2000.，-0001，（）：

-1年11月30日

摘要

It is proved that uniformly bounded simple modules over higher-rank super-Virasoro algebras are modules of the intermediate series, and that simple modules with finite dimensional weight spaces are either modules ofthe intermediate series or generalized highest weightmodules

higher-rank super-Virasoro algebra,， uniformly bounded module,， module of the intermediate series,， generalized highest weight module.，