位置：成果数据库 > 期刊 > 期刊详情页
Categorification and Quasi-Hopf Algebras
  • ISSN号：0253-6102
  • 期刊名称：Communications in Theoretical Physics
  • 时间：2011.8
  • 页码：207-210
  • 分类：O153.3[理学—数学;理学—基础数学] O177.1[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematical Science, Capital Normal University, Beijing 100048, China
  • 相关基金：Supported by National Natural Science Foundation of China under Grant Nos. 10975102, 11031005, 10871135, 10871227, and PHR201007107
  • 相关项目：量子场论和弦理论中的数学问题
作者： Chang Wen-Jing|Wang Zhi-Xi|Wu Ke|Yang Zi-Feng|
关键词： HOPF代数, 框架理论, 余代数, 代数和, 范畴论, 法律, 同构, 乘法, categorification, quasi-Hopf algebras
中文摘要：

<正> We categorify the notion of coalgebras by imposing a co-associative law up to some isomorphisms on theco-multiplication map and requiring that these isomorphisms satisfy certain law of their own,which is called the copentagonidentity.We also set up a 2-category of 2-coalgebras.The purpose of this study is from the idea of reconsideringthe quasi-Hopf algebras by the categoriScation process,so that we can study the theory of quasi-Hopf algebras and theirrepresentations in some new framework of higher category theory in naturai ways.

英文摘要：

We categorify the notion of coalgebras by imposing a co-associative law up to some isomorphisms on the co-multiplication map and requiring that these isomorphisms satisfy certairl law of their own, which is called the copentagon identity. We also set up a 2-category of 2-coalgebras. The purpose of this study is from the idea of reconsidering the quasi-Hopf algebras by the categorification process, so that we can study the theory of quasi-Hopf algebras and their representations in some new framework of higher category theory in natural ways.

同期刊论文项目
紧量子群与量子纠缠相关问题研究
期刊论文 22
推广的协变延拓结构理论及其应用
期刊论文 19
旋量，超对称中的若干数学物理问题研究
期刊论文 12
量子场论和弦理论中的数学问题
期刊论文 80
同项目期刊论文
Fermion Representation of Quantum Toroidal Algebra
The Fermion Representation of Quantum Toroidal Algebra on 3D Young Diagrams
Operator Product Formulas in the Algebraic Approach of the Refined Topological Vertex
CONSTRUCTION OF LAGRANGIAN SUBMANIFOLDS IN CPn
Colored Quantum Algebra and Its Bethe State
On Triple Product and Rational Solutions of Yang-Baxter Equation
Infinite-dimensional 3-algebra and integrable system
Off-diagonal Bethe ansatz and exact solution of a topological spin ring
A note on on-shell recursion relation of string amplitudes
Notes on symmetric BCJ numerator
Graphs, determinants and gravity amplitudes
<span style="font-family:SimSun;font-size:12pt;">Determinant formula for the partiti
学术:生命之树——忆侯伯宇先生
Super w(infinity) 3-algebra
量子场论大范围性质的研究工作介绍——纪念郭汉英研究员
On semi-classical topologically massive gravity in three dimensions
图，行列式和引力振福
An algebraic approach to BCJ numerators
The classification of two-loop integrand basis in pure four-dimension
<span style="font-family:SimSun;font-size:12pt;">Determinant representations of scal
SUPERLUMINAL NEUTRINOS FROM SPECIAL RELATIVITY WITH DE SITTER SPACETIME SYMMETRY
Free-field realization of the exceptional current superalgebra D(&#2;2, 1; α)k
Fermionic covariant prolongation structure theory for multidimensional super nonlinear evolution equ
(2+1)-Dimensional Integrable Heisenberg Supermagnet Model
Integrable Deformations of the (2+1)-Dimensional Heisenberg Ferromagnetic Model
Exact solution of the one-dimensional Hubbard model with arbitrary boundary megnetic fields
Off-diagonal Bethe ansatz solutions of the anisotropic spin-$\frac12$ chains with arbitrary boundary
The Construction of Dual-trace Factor in Yang-Mills Theory
Analytic structure of one-loop coefficients
Diagonal Slices of 3D Young Diagrams in the Approach of Maya Diagrams
An Introduction to On-shell Recursion Relations
Relations of loop partial amplitudes in gauge theory by Unitarity cut method
<span style="font-family:SimSun;font-size:12pt;">Thermodynamic limit of the off-diag
<span style="font-family:SimSun;font-size:12pt;">Nested off-diagonal Bethe ansatz an
<span style="font-family:SimSun;font-size:12pt;">Domain wall partition function of t
<span style="font-family:SimSun;font-size:12pt;">The classical exchange algebra of t
ON SL(2, R) AND AdS GRAVITY
A categorification of the boson oscillator
<span style="font-family:SimSun;font-size:12pt;">Hamiltonian analysis of a Green-Sch
Determinant representations for scalar products of the XXZ Gaudin model with general boundary terms
A diagrammatic categorification of the fermion algebra
Schwarzschild de Sitter metric and inertial Beltrami coordinates
Monogamy deficit for quantum correlations in multipartite quantum system
Note on Construction of Dual-trace Factor in Yang-Mills Theory
Notes on teleportation in an expanding space
Dual-color decompositions at one-loop level in Yang-Mills theory
Integral Reduction by Unitarity Method for Two-loop Amplitudes: A Case Study
Boundary Contributions Using Fermion Pair Deformation
BCJ Relation of Color Scalar Theory and KLT Relation of Gauge Theory
<span style="font-family:SimSun;font-size:12pt;">Spin-$\frac{1}{2}$ XYZ model revisi
<span style="font-family:SimSun;font-size:12pt;">Exact solution<span> </spa
<span style="font-family:SimSun;font-size:12pt;">Exact solution of the one-dimension
<span style="font-family:SimSun;font-size:12pt;">Direct Proof of Determinant Represe
<span style="font-family:SimSun;font-size:12pt;">Drinfeld twist and the domain wall
<span style="font-family:SimSun;font-size:12pt;">The second reference state and comp
<span style="color: rgb(102, 102, 102); line-height: 107%; font-family:;" ？？",&quo
Note on permutation sum of color-ordered gluon amplitudes
Drinfeld Twist and Symmetric Bethe Vectors of Open XYZ Chain with Non-Diagonal Boundary Terms
On Triple Product and Rational Solutions of Yang–Baxter Equation
Direct Proof of Determinant Representation for Scalar Products of the XXZ Gaudin Model with Generic Non-Diagonal Boundary Terms
量子仿射代数Uq（sln）的范畴化
A Categorification of Quantum sl2
A diagrammatic categorification of q-boson and q-fermion algebras
Integrable Deformations of the （2＋1）-Dimensional Heisenberg Ferromagnetic Model Service and feedback Email this article to a colleague Add to Bookshelf Add to Citation Manager Cite This Article Email Alert Keywords Heisenberg ferromagnet model integrable deformation nonlinear Schr？dinger equation Authors YAN Zhao-Wen CHEN Min-Ru WU Ke ZHAO Wei-Zhong Integrable Deformations of the （2＋1）-Dimensional Heisenberg Ferromagnetic Model
Exact Polynomial Solutions of Schrdinger Equation with Various Hyperbolic Potentials
Nonlocality of Two-Qubit and Three-Qubit Schmidt-Correlated States
BOUNDS FOR MULTIPARTITE CONCURRENCE
Monogamy relations in tripartite quantum system
Concurrence, tangle and fully entangled fraction
A lower bound of concurrence for multipartite quantum states
MULTIQUBITS ENTANGLEMENT BASED ON OPTIMAL WITNESS
Entanglement of Bell diagonal mixed states
Experimental determination of entanglement for arbitrary pure states
量子仿射代数Uq（sln）的范畴化
典范Kac-Moody代数与可积模的完全可约性
Quantum Adjoint Action for Quantum Algebra Uq（f（K,H））
A Categorification of Quantum sl2
Fermionic covariant prolongation structure theory for supernonlinear evolution equation
Integrable Deformations of Heisenberg Supermagnetic Model
SOLVING COLORED YANG-BAXTER EQUATION BY WU'S METHOD
Fermionic prolongation structure of the N=1 supersymmetric nonlocal gas equation
A Categorification of Quantum sl(2)
A categorification of the boson oscillator
A diagrammatic categorification of the fermion algebra
量子仿射代数Uq（sln）的范畴化
A Categorification of Quantum sl2
A diagrammatic categorification of q-boson and q-fermion algebras
A Categorification of Quantum (sl(2))over-cap
Integrable Deformations of Heisenberg Supermagnetic Model
A categorification of the boson oscillator
A diagrammatic categorification of the fermion algebra
量子仿射代数Uq（sln）的范畴化
离散的修正海森堡铁磁链方程的研究
各项异性的修正海森堡铁磁链方程的延拓结构
A Categorification of Quantum sl2
A diagrammatic categorification of q-boson and q-fermion algebras
Integrable Deformations of the （2＋1）-Dimensional Heisenberg Ferromagnetic Model Service and feedback Email this article to a colleague Add to Bookshelf Add to Citation Manager Cite This Article Email Alert Keywords Heisenberg ferromagnet model integrable deformation nonlinear Schr？dinger equation Authors YAN Zhao-Wen CHEN Min-Ru WU Ke ZHAO Wei-Zhong Integrable Deformations of the （2＋1）-Dimensional Heisenberg Ferromagnetic Model
期刊信息
  • 《理论物理通讯：英文版》
  • 中国科技核心期刊
  • 主管单位:中国科学院
  • 主办单位:中科院理论物理所 中国物理学会
  • 主编：孙昌浦
  • 地址：北京2735邮政信箱 中国科学院理论物理研究所编辑部
  • 邮编：100190
  • 邮箱：ctp@itp.ac.cn
  • 电话：010-62551495 62541813 62550630
  • 国际标准刊号：ISSN：0253-6102
  • 国内统一刊号：ISSN：11-2592/O3
  • 邮发代号:
  • 获奖情况:
  • 首届国家期刊奖,中国科学院优秀期刊特别奖,国家期刊奖百种重点期刊,中国期刊方阵“双高”期刊
  • 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,荷兰文摘与引文数据库,美国剑桥科学文摘,美国科学引文索引（扩展库）,英国科学文摘数据库,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
  • 被引量:342