搜索结果: 121-135 共查到“理学 lie”相关记录233条 . 查询时间(0.089 秒)
A Note on Derivations of Lie Algebras
Note Lie Algebras
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2010/11/12
In this note, we will prove that a finite dimensional Lie algebra $L$ of characteristic zero, admitting an abelian algebra of derivations $D\leq Der(L)$ with the property $$ L^n\subseteq \sum_{d\in D...
Classification of Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebra
Harish-Chandra modules Lie algebras
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2010/11/22
In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras and superconformal algebras related to the Virasoro algebras. We first classify suc...
Lie superalgebras of differential operators
Lie superalgebras differential operators
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2010/11/15
We describe explicitly Lie superalgebra isomorphisms between the Lie superalgebras of first-order superdifferential operators on supermanifolds, showing in particular that any such isomorphism induce...
Six-dimensional nilpotent Lie algebras
Six-dimensional nilpotent Lie algebras
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2010/11/9
We give a full classification of 6-dimensional nilpotent Lie algebras over an arbitrary field, including fields that are not algebraically closed and fields of characteristic~2. To achieve the classi...
Lagrange系统的特殊Noether-Lie对称性和特殊守恒量
特殊无限小变换 Lagrange系统 特殊Noether-Lie对称性 特殊守恒量
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2012/11/6
在时间t不变群的特殊无限小变换下,研究Lagrange系统的特殊Noether-Lie对称性以及由特殊Noether-Lie对称性导致的特殊Noether守恒量和特殊Hojman守恒量.最后,举例说明结果的应用.
The topology of a simple Lie group is essentially unique
topology simple Lie group essentially unique
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2010/12/14
We study locally compact group topologies on simple Lie groups. We show that the Lie group topology on such a group S is very rigid: every ’abstract’ isomorphism between S and a locally compact and -...
Invariant generalized complex structures on Lie groups
Invariant generalized complex structures Lie groups
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2010/11/30
We find an infinitesimal description of invariant generalized complex structures on Lie groups. We develop a systematic treatment of a class (called regular) of invariant generalized complex structure...
On cohomology and support varieties for Lie superalgebras
cohomology varieties Lie superalgebras
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2010/12/8
Support varieties for Lie superalgebras over the complex numbers were introduced in [BKN1] using the relative cohomology. In this paper we discuss finite generation of the relative cohomology rings fo...
Some functional inequalities on polynomial volume growth Lie groups
Sobolev inequalities polynomial volume growth Lie groups
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2010/12/7
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without
the use of the Littlew...
Unitary representations of unimodular Lie groups in Bergman spaces
Unitary representations of unimodular Lie groups Bergman spaces
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2010/12/3
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...
Automorphism group and ad-invariant metric on all six dimensional solvable real Lie algebras
Automorphism group ad-invariant metric all six dimensional solvable real Lie algebras
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2010/11/30
Using adjoint representation of Lie algebras, we calculate the automorphism group and ad-invariant metric on six dimensional solvable real Lie algebras with 5, 4 and 3 dimensional nilradicals.
A classification theorem for Dirac homogeneous spaces of Dirac Lie groupoids
Poisson Lie groupoids Lie groupoids Dirac manifolds homogeneous spaces Courant algebroids
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2010/11/29
The theorems in Drinfel′d (1993), Liu et al. (1998), Jotz (2010a) about one-one orrespondence between homogeneous objects of a Poisson Lie group (respectively Poisson Lie groupoid, Dirac Lie group)and...
M. Kontsevich's graph complex and the Grothendieck-Teichmueller Lie algebra
Formality Deformation Quantization Operads
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2010/12/1
We show that the zeroth cohomology of Kontsevich’s graph complex is isomorphic to the Grothendieck-Teichm¨uller Lie algebra grt. The map is explicitly described.
Inner Automorphisms of Lie Algebras Related with Generic 2 x 2 Matrices
free Lie algebras generic matrices inner automorphisms
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2010/12/13
Let Fm = Fm(varsl2(K)) be the relatively free algebra of rank m in the variety of Lie algebras generated by the algebra sl2(K) over a field K of characteristic 0.
Hom-Lie Algebras with Symmetric Invariant NonDegenerate Bilinear Forms
Hom-Lie algebra representation quadratic form quadratic Hom-Lie algebra
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2010/12/9
The aim of this paper is to introduce and study quadratic Hom-Lie algebras, which are Hom-Lie algebras with symmetric invariant nondegenerate bilinear forms. We provide several onstructions
leading t...