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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.
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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】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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【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
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【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.
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