位置：成果数据库 > 期刊 > 期刊详情页
A Representation of sl(2;C) on Clifford Algebra of Even Dimension
  • 期刊名称：Wuhan University Journal of Natural Sciences
  • 时间：0
  • 页码：461-464
  • 语言：英文
  • 分类：O175.5[理学—数学;理学—基础数学]
  • 作者机构：[1]School of Mathematics Science and Computing Technology,Central South University, Changsha 410083, Hunan, China, [2]School of Mathematics and Statistics, Wuhan University,Wuhan 430072, Hubei, China, [3]School of Statistics and Mathematics, Zhongnan Universityof Economics and Law, Wuhan 430073, Hubei, China
  • 相关基金：Foundation item： Supported by the National Natural Science Foundation of China（lOS71150, 11001273） and the Freedom Explore Program of Central South University
  • 相关项目：复与超复分析中边值问题与奇异积分方程
作者： He Fuli, Du Jinyuan, Wang Ying|
关键词： 克利福德代数学, 谎言代数学, 表示, Clifford algebra, Lie algebra, representation
中文摘要：

在赫米泰恩·克利福德设定的基础下面，我们定义为复杂克利福德代数学的基本操作符珍视函数，获得这些操作符的一些性质，并且讨论 sl 的一个代表(2； C ) 在甚至尺寸的克利福德代数学上。

英文摘要：

Under the foundation of Hermitean Clifford setting, we define the fundamental operators for complex Clifford algebra valued fimctions, obtain some properties of these operators, and discuss a representation of sl（2; C ） on Clifford algebra of even dimension.

同期刊论文项目
复与超复分析中边值问题与奇异积分方程
期刊论文 39 会议论文 6
Lorentz空间的鞅理论及其应用
期刊论文 9
同项目期刊论文
旋量值函数的Bochner-Martinelli型公式
Some new Phi-moment martingale inequalities associated with concave functions
Operator-valued martingale transforms in rearrangement invariant spaces and applications
New John-Nirenberg theorem for martingales
L (p,q) -norm estimates associated with Burkholder's inequalities
Compound Boundary Value Problems for Hyperanalytic Functions
Generalized Integral Representations for Functions with Values in C(V3;3)
Boundary value problems in a fan-shaped domain
间断系数Riemann边值问题的稳定性
Solutions to the polynomial Dirac equations on unbounded domains in Clifford analysis
On compound boundary value problem for a class of metaanalytic functions
Some Riemann boundary value problems in Clifford analysis
On Schwarz-type boundary-value problems of polyanalytic equation on a triangle
A class of compound vector-valued problem and factorization of matrix function
The region of analytic functions for the convergence of trigonometric interpolation
Runge-Kutta methods for numerical solution Volterra equations with adaptive step size control
On modified Hilbert boundary-value problems of polyanalytic functions
On the integral representation of spherical k-regular functions in Clifford analysis
Wiener-Hopf factorization of a class of matrix functions and Corona theorem
多正则函数的Riemann边值问题
Mixed boundary value problem with a shift for a pair of metaanalytic and analytic function
Decompostions of functions and Dirichlet problems in the unit disc
Dirichlet problems for inhomogeneous complex mixed-differential equations in the unit disc: new view
实轴上的特征奇异积分方程
Riemann boundary value problems on the unit circle for polyanalytic functions
On generalization of Martinelli-Bochner integral formula using Clifford analysis
Some properties of holomorphic Cliffordian Function in complex Clifford analysis
Cauchy integral formula and Cauchy-Pompeiu formula on unbounded domains in universal Clifford analys
On Haseman boundary value problem for a class of metaanalytic functions with different factors on th
Clifford分析中调和函数推广的Liouville定理
Integral formula of Isotonic functions over unbounded domain in Clifford analysis
Clifford分析中的Teodorescu算子
Riemann boundary value problems with given principal part
A Laurent expansion and residue theorems of k-regular functions in Clifford analysis
Boundary behavior of Cauchy-type integrals in Clifford analysis
On the collocation methods for singular integral equations with Hilbert kernel
Clifford分析中Isotonic柯西型积分的边界性质
泛欧氏空间的Clifford群、扭群、旋群及它们的李代数
On Hasemann boundary value problem for a class of metaanalytic functions
On boundary behavior of the Cauchy type integrals with values in a universal Clifford algebra
Compound Boundary Value Problems for Hyperanalytic Functions
一类亚解析函数的复合边值问题（英文）