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苏育才, Yucai Su
(appeared in Proc. Amer. Math. Soc., 133 (2005), 1949-1957),-0001,():
-1年11月30日
We prove that an irreducible quasifinite module over the central extension of the Lie algebra of N
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【期刊论文】Low dimensional cohomology of general conformal algebras gcN
苏育才, Yucai Su a)
J. Math. Phys., Vol. 45, No.1, January 2004,-0001,():
-1年11月30日
We compute the low dimensional cohomologies H q(gcN,C), Hq(gcN,C) of the infinite rank general Lie conformal algebras gcN with trivial coefficients for q<3, N51 or q<2, N>2. We also prove that the cohomology of gcN with coeffi-cients in its natural module is trivial, i.e., H*(gcN,C[э]N)=0, and thus partially solve an open problem of Bakalov-Kac-Voronov
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【期刊论文】SIMPLE LIE COLOR ALGEBRAS OF WEYL TYPE1
苏育才, Yucai Su* , Kaiming Zhao† and Linsheng Zhu‡
(appeared in Israel Journal of Mathematics, 137 (2003), 109-123),-0001,():
-1年11月30日
Abstract. For an (є; Ґ)-color-commutative associative algebra A with an identity element over a field F of characteristic not 2, and for a color-commutative color-derivation subalgebra D of A, denote by A[D] the associative subalgebra of End(A) generated by A (regarding as operators on A via multiplication) and D. It is proved that, as an associative algebra, A[D] is Ґ-graded simple if and only if A is Ґ-graded D-simple. Suppose A is Ґ-graded D-simple. Then, (a) A[D] is a free left A-module; (b) as a Lie color algebra, the subquotient [A[D];A[D]]=Z(A[D])\[A[D];A[D]] is simple (except one minor case), where Z(A[D]) is the color center of A[D]. The structure of this subquotient is explicitly described.
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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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【期刊论文】Structure of contact Lie algebras related to locally-finite derivations
苏育才, Yucai Su
manuscripta math. 112, 231-257 (2003),-0001,():
-1年11月30日
In this paper, we determine the isomorphism classes of contact simple Lie algebras constructed from locally-finite commuting derivations, introduced earlier by the second author. These algebras are in general not finitely graded.
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