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提出并研究在非标准Lagrange函数下动力学系统的Lie对称性与Mei对称性.基于系统的Lagrange方程,引入无限小变换及其生成元向量,给出了Lie对称性和Mei对称性的定义,建立了两类非标准Lagrange函数(指数Lagrange函数和幂律Lagrange函数)下动力学系统的Lie对称性结构方程和Mei对称性结构方程,导出了Lie对称性导致的Noether守恒量和Mei对称性导致的Mei...
本文通过经典的可导映射,运用矩阵分块的方法,证明了因子vonNeumann代数A上的每一个非线性混合Lie三重可导映射都是可加的*-导子.
In [7] it wasshown that ifn isthe fundamental group ofa closed oriented surface S and Gis Lie group satisfying very general conditions, then the space Hom(n, G)/G of conjugacy classes of representat...
(For convenience we shall henceforth assume that n is torsionfree: by Selberg's lemma [12] this may be accomplished by replacing TT by a subgroup of finite index. This insures that M is a compact ...
Examples of the Atlas of Lie Groups and Representations     the Atlas  Lie Groups  Representations       font style='font-size:12px;'> 2015/9/28
The Atlas of Lie Groups and Representations is a project in representation theory of real reductive groups. Themain goal of the atlas computer software, currently under development, is to compute the ...
The study of Gaussian convolution semigroups is a subject at the cross- road between abstract and concrete problems in harmonic analysis. This article suggests selected open problems that are in lar...
We introduce the categories of infinitesimal Hopf modules and bimodules over an infinitesimal bialgebra. We show that they correspond to modules and bimodules over the infinitesimal version of the d...
Pre-Lie algebras and the rooted trees operad     Pre-Lie algebras  rooted trees operad       font style='font-size:12px;'> 2015/3/25
A Pre-Lie algebra is a vector space L endowed with a bilinear product * : L \times L to L satisfying the relation (x*y)*z-x*(y*z)= (x*z)*y-x*(z*y), for all x,y,z in L. We give an explicit combinatoria...
Sub-Geometries of Lie Sphere Differential Geometry     Sub-Geometries  Lie Sphere Differential Geometry       font style='font-size:12px;'> 2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Equivariant cohomology and localization for Lie algebroids and applications.
Killing–Yano tensors are natural generalizations of Killing vectors. We investigate whether Killing–Yano tensors form a graded Lie algebra with respect to the Schouten–Nijenhuis bracket. We find that ...
Lie Wang is Associate Professor of Mathematics. He joined the department faculty as Assistant Professor in 2008. He received the PhD in statistics from The Wharton School, University of Pennsylvania, ...
Let G be a non-compact connected semisimple Lie group of real rank one with finite center, K a maximal compact subgroup of G and X = G/K an associated symmetric space of real rank one. We will p...
讨论了自治系统接受的单参数Lie群组具有一种可解性的情况下求系统的一个首次积分的具体方法.对于n阶自治系统,给出相应参数的一组确定取值,求得系统首次积分;对于三阶自治系统,当系统接受的单参数Lie群组可解时,验证求得首次积分的条件一定成立.
Martingale transform and Levy Processes on Lie Groups     Martingale transform  Levy Processes  Lie Groups  Probability       font style='font-size:12px;'> 2012/6/29
This paper constructs a class of martingale transforms based on L\'evy processes on Lie groups. From these, a natural class of bounded linear operators on the $L^p$-spaces of the group (with respect t...

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