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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.
Invariant functions on Lie groups and Hamiltonian flows ofsurface group representations
Lie groups Hamiltonian flows
2015/9/29
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...
CHARACTERISTIC CLASSES AND REPRESENTATIONS OF DISCRETE SUBGROUPS OF LIE GROUPS
CHARACTERISTIC CLASSES REPRESENTATIONS
2015/9/29
(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
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 ...
ANALYSIS ON COMPACT LIE GROUPS OF LARGE DIMENSION AND ON CONNECTED COMPACT GROUPS
LIE GROUPS LARGE DIMENSION
2015/8/26
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...
INFINITESIMAL BIALGEBRAS, PRE-LIE AND DENDRIFORM ALGEBRAS
Infinitesimal bialgebras pre-Lie algebras dendriform algebras
2015/8/14
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...
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
2015/3/24
Sub-Geometries of Lie Sphere Differential Geometry.
Equivariant cohomology and localization for Lie algebroids and applications
Equivariant cohomology localization Lie algebroids applications
2015/3/19
Equivariant cohomology and localization for Lie algebroids and applications.
Do Killing–Yano tensors form a Lie algebra?
This time - Yano tensor vector and often the curvature of spacetime
2014/12/20
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 ...
Associate Professor Lie Wang,Department of Mathematics at Massachusetts Institute of Technology（图）
Department of Mathematics at Massachusetts Institute of Technology Associate Professor nonparametric function estimation high dimensional inference
2014/8/21
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, ...
Real-Variable Theory and Fourier Integral Operators on Semisimple Lie Groups and Symmetric Spaces of Real Rank One
Real-Variable Theory Fourier Integral Operators Semisimple Lie Groups Symmetric Spaces Real Rank One
2014/4/3
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...
利用单参数Lie群组的一种可解性求自治系统首次积分的方法
自治系统 单参数Lie群组 可解性 首次积分
2013/10/17
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
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...