LIE

作品数:646被引量:839H指数:14
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相关领域:理学更多>>
相关作者:张毅梅凤翔梁景辉张建华李元成更多>>
相关机构:陕西师范大学中国石油大学(华东)北京理工大学山西师范大学更多>>
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相关基金:国家自然科学基金国家教育部博士点基金陕西省自然科学基金河南省自然科学基金更多>>
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The Unitary Group in Its Strong Topology
《Advances in Pure Mathematics》2018年第5期508-515,共8页Martin Schottenloher 
The goal of this paper is to confirm that the unitary group U(H) on an infinite dimensional complex Hilbert space is a topological group in its strong topology, and to emphasize the importance of this property for app...
关键词:UNITARY OPERATOR Strong OPERATOR Topology Topological GROUP Infinite Dimensional LIE GROUP CONTRACTIBILITY Hilbert BUNDLE Classifying Space 
From Braided Infinitesimal Bialgebras to Braided Lie Bialgebras
《Advances in Pure Mathematics》2017年第7期366-374,共9页Shengxiang Wang 
The present paper is a continuation of [1], where we considered braided infinitesimal Hopf algebras (i.e., infinitesimal Hopf algebras in the Yetter-Drin feld category for any Hopf algebra H), and constructed their Dr...
关键词:Braided INFINITESIMAL BIALGEBRA Braided LIE BIALGEBRA YETTER-DRINFELD CATEGORY Balanceator 
On Hom-Lie Pseudo-Superalgebras被引量:1
《Advances in Pure Mathematics》2016年第6期420-435,共16页Shengxiang Wang Tingting Tao 
The aim of this article is to introduce the notion of Hom-Lie H-pseudo-superalgebras for any Hopf algebra H. This class of algebras is a natural generalization of the Hom-Lie pseudo-algebras as well as a special case ...
关键词:Hom-Associative Pseudo-Superalgebra Hom-Lie Pseudo-Superalgebra Hom-Lie Conformal Superalgebra Hom-Annihilation Superalgebra COHOMOLOGY 
The Emergence of Spacetime from the Quantum in Three Steps被引量:5
《Advances in Pure Mathematics》2016年第6期446-454,共9页Mohamed S. El Naschie 
The paper presents a very simple and straight forward yet pure mathematical derivation of the structure of actual spacetime from quantum set theory. This is achieved by utilizing elements of the topological theory of ...
关键词:Quantum Spacetime Transfiite Theory Noncommutative Geometry ‘tHooft-Susskind Holography Cantorian Spacetime Penrose-Connes Fractal Universe E-Infinity Theory E8 Exceptional Lie 
On 2 - 3 Matrix Chevalley Eilenberg Cohomology
《Advances in Pure Mathematics》2015年第14期835-849,共15页Joseph Dongho Epizitone Duebe-Abi Shuntah Roland Yotcha 
The main objective of this paper is to provide the tool rather than the classical adjoint representation of Lie algebra;which is essential in the conception of the Chevalley Eilenberg Cohomology. We introduce the noti...
关键词:LIE ALGEBRA COCHAIN 2 - 3 MATRIX Chevalley Eilenberg COHOMOLOGY 
Poisson Vector Fields on Weil Bundles
《Advances in Pure Mathematics》2015年第13期757-766,共10页Norbert Mahoungou Moukala Basile Guy Richard Bossoto 
In this paper, M is a smooth manifold of finite dimension n, A is a local algebra and MA is the associated Weil bundle. We study Poisson vector fields on MA and we prove that all globally hamiltonian vector fields on ...
关键词:WEIL ALGEBRA WEIL BUNDLE POISSON MANIFOLD LIE Derivative POISSON 2-Form 
On Simple Completely Reducible Binary-Lie Superalgebras over sl<sub>2</sub>(F)
《Advances in Pure Mathematics》2015年第5期314-323,共10页Manuel Arenas 
In this article, we prove that if B is a simple binary-Lie superalgebra whose even part is isomorphic to sl2(F) ?and whose odd part is a completely reducible binary-Lie-module over the even part, then B is a Lie super...
关键词:Binary-Lie Super-Algebras 
On the Initial Subalgebra of a Graded Lie Algebra
《Advances in Pure Mathematics》2014年第9期513-517,共5页Thomas B. Gregory 
We show that each irreducible, transitive finite-dimensional graded Lie algebra over a field of prime characteristic p contains an initial subalgebra in which the pth power of the adjoint transformation associated wit...
关键词:Prime-Characteristic LIE ALGEBRAS 
Winter Map Inverses
《Advances in Pure Mathematics》2014年第7期303-308,共6页Thomas B. Gregory 
We demonstrate the functional inverse of a Winter map, which is an analog of the exponential map, for Lie algebras over fields of prime characteristic.
关键词:Prime-Characteristic LIE ALGEBRAS Prime-Characteristic LIE GROUPS 
A Note on the Height of Transitive Depth-One Graded Lie Algebras Generated by Their Local Parts
《Advances in Pure Mathematics》2014年第6期242-243,共2页Thomas B. Gregory 
For a transitive depth-one graded Lie algebra over a field of characteristic greater than two, a limit on the degree of the highest gradation space is determined.
关键词:GRADED LIE ALGEBRAS 
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