位置：成果数据库 > 期刊 > 期刊详情页
Toroidal李代数的结构与表示
  • ISSN号：0438-0479
  • 期刊名称：厦门大学学报(自然科学版)
  • 时间：2011
  • 页码：149-164
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]厦门大学数学科学学院,福建厦门361005
  • 相关基金：国家自然科学基金项目（10931006）
  • 相关项目：李理论及其应用
作者： 谭绍滨|陈福林|TAN Shao-bin*,CHEN Fu-lin(School of Mathematical S|
关键词： TOROIDAL李代数, 结构, 表示, 扭Toroidal李代数, Toroidal Lie algebra, structure, representation, twisted Toroidal Lie algebra
中文摘要：

关于Toroidal李代数结构和表示理论的进行综述.介绍了Toroidal李代数的发展历史、结构理论、表示理论以及扭Toroidal李代数与高维仿射李代数的关系,扭Toroidal李代数的不可约表示等.

英文摘要：

This paper is a survey on Toroidal Lie algebras,in htis paper we give several results on the structure theory and representation theory of Toroidal Lie algebras for for both the untwisted case and the twisted case which developed in recent decades.

同期刊论文项目
李理论及其应用
期刊论文 57
同项目期刊论文
The q-analog klein bottle Lie algebra
A characterization of the rational vertex operator algebra V-Z alpha(+): II
A Characterization of Vertex Operator Algebra L(1/2,0) circle times L(1/2,0)
Tilting objects in the stable category of vector bundles on a weighted projective line of type (2, 2
Twisted fermionic and bosonic representations for a class of BC-graded Lie algebras
Abelianness of the “missing part” from coherent sheaf category to module category
Representations of Tame Quivers and Affine Canonical Bases Dedicated to Claus Michael Ringel on the
Automorphism Group of a Class of Gradation Shifting Toroidal Lie Algebras
Whittaker modules for the Schrodinger-Witt algebra
IRREDUCIBLE REPRESENTATIONS FOR THE BABY TITS-KANTOR-KOECHER ALGEBRA
A realization of elliptic Lie algebras of type F-4((2,2)) by the Ringel-Hall approach
From recollement of triangulated categories to recollement of abelian categories
On representations of real Jacobi groups
Differential Operator Realization of the Exceptional Superalgebra D(2, 1; alpha) and Its Application
Rationality of vertex operator algebra V-L(+): higher rank
Integrable Representations for Extended Affine Lie Algebras Coordinated by Quantum Tori
Unitary representations for the schrodinger-virasoro lie algebra
Notes on MVW-extensions
Multiplicity one theorems for Fourier-Jacobi models
Fourier transform and rigidity of certain distributiolns
Representations of the vertex operator algebra VL2A4
Constructing irreducible integrable modules for extended baby TKK algebra
Vertex operator representations for a class of $BC_\nu$-graded Lie algebras
Twisted modules for quantum vertex algebras
On conjugacy classes in metaplectic groups
A general form of Gelfand-Kazhdan criterion
Uniqueness of Bessel Models: The Archimedean Case
MVW-extensions of quaternionic classical groups
Representations of the twisted affine Nappi-Witten algebras
Representations of affine Nappi-Witten algebras
LOW-DIMENSIONAL COHOMOLOGY GROUPS OF THE LIE ALGEBRAS W(a, b)
Representations for the Nongraded Virasoro-Like Algebra
Associating quantum vertex algebras to Lie algebra
A characterization of vertex operator algebra V_Z^+: I
Subcategories of fixed points of mutations in root categories with type A integral (n-1)
One-point Extensions and Recollements of Derived Categories
Comparisons of recollements and tilting modules
theta-Unitary representations for the W-algebra W(2,2)
A class of irreducible integrable modules for the extended baby tkk algebra
Some categories of modules for toroidal Lie algebras
Multiplicity one theorems: the Archimedean case
Testing Quantum Entanglement with Local Measurement
The multiplicity one conjecture for local theta correspondences
Structure of the Local Area-Preserving Lie Algebra for the Klein Bottle
Quasi-binomial coefficients stemming from Nakayama algebras
Automorphism Group and Representation of a Twisted Multi-loop Algebra
多重Loop李代数的Weyl模
Recollement导出的共变与反变有限子范畴
一类TKK代数的Bosonic表示
幂等完备化,Serre函子与Recollement
商范畴的Recollement
期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,美国剑桥科学文摘,美国生物科学数据库,英国科学文摘数据库,英国动物学记录,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,英国英国皇家化学学会文摘,中国北大核心期刊（2000版）
  • 被引量:16575