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作品数:157被引量:109H指数:5
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Irreducible Wakimoto-like Modules for the Lie Superalgebra D(2,1;α)被引量:1
《Acta Mathematica Sinica,English Series》2018年第10期1578-1588,共11页Jin CHENG Zi Ting ZENG 
Supported by NSF of China(Grant Nos.11701340 and 11271043)
By using the idea of Wakimoto's free field, we construct a class of representations for the Lie superalgebra D(2, 1; α) on the tensor product of a polynomial algebra and an exterior algebra involving one parameter...
关键词:Lie superalgebra REPRESENTATION Wakimoto's free field 
Two-dimensional Irreducible Algebraic Semigroups
《Acta Mathematica Sinica,English Series》2018年第3期532-541,共10页Duo LI 
We study two-dimensional irreducible projective smooth algebraic semigroups. Minimal surface semigroups with Kodaira dimension at most one are partially classified. We also calculate the local dimension of the moduli ...
关键词:Algebraic semigroup algebraic surface 
Vanishing Theorem for Irreducible Symmetric Spaces of Noncompact Type
《Acta Mathematica Sinica,English Series》2010年第2期361-368,共8页Xu Sheng LIU 
We prove the following vanishing theorem. Let M be an irreducible symmetric space of noncompact type whose dimension exceeds 2 and M ≠SO0(2, 2)/SO(2) × SO(2). Let π : E →* M be any vector bundle. Then any ...
关键词:vanishing theorem symmetric space harmonic form 
Irreducible Weight Modules over the Twisted SchrSdinger-Virasoro Algebra被引量:2
《Acta Mathematica Sinica,English Series》2009年第4期531-536,共6页Jun Bo LI Yu Cai SU 
Supported by China Postdoctoral Science Foundation Grant 20080440720, NSF Grants 10671027, 10825101 of China and "One Hundred Talents Program" from University of Science and Technology of China
It is shown that the support of an irreducible weight module over the SchrSdinger-Virasoro Lie algebra with an infinite-dimensional weight space coincides with the weight lattice, and all nontrivial weight spaces of s...
关键词:Schrodinger-Virasoro Lie algebras weight modules irreducible modules 
Kaplansky Density and Kadison Transitivity Theorems for Irreducible Representations of Real C^-Algebras
《Acta Mathematica Sinica,English Series》2007年第10期1827-1832,共6页Jeffrey L.BOERSEMA 
We prove analogs of the Kaplansky Density Theorem and the Kadison Transitivity Theorem for irreducible representations of a real C*-algebra on a real Hilbert space. Specifically, if a C*-algebra is acting irreducibl...
关键词:real C*-algebra irreducible  representation TRANSITIVITY 
Classification of Irreducible Weight Modules with a Finite-dimensional Weight Space over Twisted Heisenberg-Virasoro Algebra被引量:11
《Acta Mathematica Sinica,English Series》2007年第1期189-192,共4页Ran SHEN Yu Cai SU 
NSF Grants 10471096,10571120 of China;"One Hundred Talents Program"from the University of Science and Technology of China
We show that the support of an irreducible weight module over the twisted Heisenberg-Virasoro algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all nontrivial weight s...
关键词:the twisted Heisenberg-Virasoro algebra weight modules support 
Strongly Irreducible Submodules of Modules被引量:2
《Acta Mathematica Sinica,English Series》2006年第4期1189-1196,共8页A.KHAKSARI M.ERSHAD H.SHARIF 
Strongly irreducible submodules of modules are defined as follows: A submodule N of an Rmodule M is said to be strongly irreducible if for submodules L and K of M, the inclusion L ∩ K ∈ N implies that either L ∈ N...
关键词:irreducible and strongly irreducible module distributive module 
Large Deviations for Empirical Measures of Not Necessarily Irreducible Countable Markov Chains with Arbitrary Initial Measures
《Acta Mathematica Sinica,English Series》2005年第6期1377-1390,共14页Yi Wen JIANG Li Ming WU 
All known results on large deviations of occupation measures of Markov processes are based on the assumption of (essential) irreducibility. In this paper we establish the weak* large deviation principle of occupati...
关键词:Large deviations Markov processes (chains) 
Irreducible * Representations of Real C~*-Algebras
《Acta Mathematica Sinica,English Series》1995年第4期381-388,共8页
Partially supported by the National Natural Science Foundation of China.
In this paper,we show that a topologically irreducible * representation of a real C~*- algebra is also algebraically irreducible.Moreover,the properties of pure real states on a real C~*- algebra and their left kernel...
关键词:Real C-algebra Pure real state Irreducible * representation Transitivity theorem 
On Indecomposable Definite Hermitian Forms被引量:1
《Acta Mathematica Sinica,English Series》1995年第3期291-299,共9页Zhu Fuzu 
In this paper, for any given natural numbers n and a, we can construct explicitly positive definite indecomposable integral Hermitian forms of rank n over Q(-31/2) with discriminant a, with the following te...
关键词:Indecomposable lattics (form) Unimodular lattice (form) Minimum of a lattice Irreducible vector 
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