已为您找到该学者20条结果 成果回收站
【期刊论文】Generalized Virasoro and super-Virasoro algebras and modules of the intermediate series
苏育才, Yucai Su a and Kaiming Zhao b, *
Journal of Algebra 252(2002)1-19,-0001,():
-1年11月30日
-
34浏览
-
0点赞
-
0收藏
-
0分享
-
97下载
-
0
-
引用
【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
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.
-
31浏览
-
0点赞
-
0收藏
-
0分享
-
86下载
-
0
-
引用
【期刊论文】Structure of Divergence-Free Lie Algebras
苏育才, Yucai Su Xiaoping Xu
,-0001,():
-1年11月30日
One of the four well-known series of simple Lie algebras of Cartan type is the series of Lie algebras of Special type, which are divergence-free Lie algebras associated with polynomial algebras and the operators of taking partial derivatives, connected with volume-preserving diffeomorphisms. In this paper, we determine the structure space of the divergence-free Lie algebras associated with pairs of a commutative associative algebra with an identity element and its finite-dimensional commutative locally finite derivation subalgebra such that the commutative associative algebra is derivation-simple with respect to the derivation subalgebra.
-
30浏览
-
0点赞
-
0收藏
-
0分享
-
75下载
-
0
-
引用
【期刊论文】Some Representations of Nongraded Lie Algebras of Generalized Witt Type1
苏育才, Yucai Su Jianhua Zhou
,-0001,():
-1年11月30日
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.
-
29浏览
-
0点赞
-
0收藏
-
0分享
-
80下载
-
0
-
引用
苏育才, Yucai Su
Canad. J. Math. Vol. 55 (4), 2003 pp. 856-896,-0001,():
-1年11月30日
Xu introduced a class of nongraded Hamiltonian Lie algebras. These Lie algebras have a Poisson bracket structure. In this paper, the isomorphism classes of these Lie algebras are determined by employing a "sandwich" method and by studying some features of these Lie algebras. It is obtained that two Hamiltonian Lie algebras are isomorphic if and only if their corresponding Poisson algebras are isomorphic. Furthermore, the derivation algebras and the second cohomology groups are determined.
-
27浏览
-
0点赞
-
0收藏
-
0分享
-
75下载
-
0
-
引用