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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 Nonmarine Source of Variability in Adélie Penguin Demography
Adélie Penguin Demography Nonmarine
2015/7/16
A primary research objective of the Palmer Long Term Ecological Research (LTER) program has been to identify and understand the factors that regulate the demography of Adélie penguins (Pygoscelis adel...
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.
Geometric representation theory of restricted lie algebras
Map building lie algebra and classical lie algebras tectonic change lines etc
2014/12/29
We modify the Hochschild -map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a goup scheme that leads to a geometric construction of unrestricted rep...
The paper develops a linearized notion of Lusztig's character sheaves (on Lie algebras rather then on groups), which contains Lusztig's class of character sheaves on Lie algebras. The theory is indepe...
Singular localization and intertwining functors for reductive Lie algebras in prime characteristic
Lie algebra semisimple algebra group Springer fiber localization module is fixed
2014/12/25
In [BMR] we observed that, on the level of derived categories, representations of the Lie algebra of a semisimple algebraic group over a field of finite characteristic with a given (generalized) {\em ...
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 ...