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【期刊论文】Primitive vectors of Kac-modules of the Lie superalgebras sl(m/n)
苏育才, Yucai Su J. W. B. Hughes R. C. King
J. Math. Phys., Vol. 41, No.7, July 2000,-0001,():
-1年11月30日
In a study of finite-dimensional modules of simple Lie superalgebras, Kac introduced certain indecomposable modules, now known as Kac-modules V
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苏育才, 徐晓平
中国科学(A辑),2003,33(6):570~586,-0001,():
-1年11月30日
确定了特征0的代数闭域上与局部有限导子相关的中心单Poisson代数的结构。这些Poisson代数的Lie代数结构一般来说不是有限阶化的。
Posson 代数 局部有限算子 导子 有限阶化 同构类
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苏育才, Yucai Su* Jiangfeng Zhang Kaiming Zhao
Math. Nachr. 246-247 (2002), 188-201,-0001,():
-1年11月30日
The present paper is another step toward the classification of Z × Z–graded Lie algebras: we classify Z × Z–graded Lie algebras A =⊕i,j∈Z Ai,j over a field F of characteristic 0 with dimAi,j ≤ 1 for i, j ∈ Z, satisfying: (1) A0 = ⊕t∈Z Ai,0 Vir, the centerless Virasoro algebra, (2) A0,−1, A0,0, A0,1 span the 3-dimensional simple Lie algebra sl2, (3) A is generated by the centerless Virasoro algebra and sl2. These algebras include some rank 2 centerless Virasoro algebras, and some rank 2 Block algebras and their extensions.
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【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.
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【期刊论文】Isomorphism classes and automorphism groups of algebras of Weyl type
苏育才, SU Yucai & ZHAO kaiming
SCIENCE IN CHINA, 2002, 45 (8): 953~963,-0001,():
-1年11月30日
n one of our recent papers, the associative and the Lie algebras of Weyl type A[D] = AUF[D] were de ned and studied, where A is a commutative associative algebra with an identity element over a eld F of any characteristic, and F[D] is the polynomial algebra of a commutative derivation subalgebra D of A. In the present paper, a class of the above associative and Lie algebras A[D] with F being a eld of characteristic 0, D consisting of locally nite but not locally nilpotent derivations of A, are studied. The isomorphism classes and automorphism groups of these associative and Lie algebras are determined.
simple Lie algebra,, simple associative algebra,, derivation,, isomorphism class,, auto-morphism group.,
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