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THE ASSOCIATIVE OPERAD AND THE WEAK ORDER ON THE SYMMETRIC GROUPS
Hopf algebr factorizable inverse monoid uniform block permutation
2015/8/14
We introduce the Hopf algebra of uniform block permutations and show that
it is self-dual, free, and cofree. These results are closely related to the fact that uniform
block permutations form a fact...
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
noncommuting variables related Hopf algebras
2015/8/14
We identify two seemingly disparate structures: supercharacters, a useful way of doing
Fourier analysis on the group of unipotent uppertriangular matrices with coefficients in a finite
field, and th...
General construction of symmetric parabolic structures
parabolic geometries contact geometries symmetric spaces extension functors
2012/7/11
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and we show that all regu...
Integral estimates for the trace of symmetric operators on complete submanifolds
Integral estimates trace of symmetric operators complete submanifolds Differential Geometry
2012/4/17
Let $\Phi:TM\to TM$ be a positive-semidefinite operator of class $C^1$ defined on a complete noncompact manifold $M$ isometrically immersed in a Hadamard space $\bar{M}$. In this paper, we given condi...
Index of quasi-conformally symmetric semi-Riemannian manifolds
Index of a semi-Riemannian manifold metric connection quasi-conformal curvature tensor
2012/2/29
We find the index of $\widetilde{\nabla}$-quasi-conformally symmetric and $\widetilde{\nabla}$-concircularly symmetric semi-Riemannian manifolds, where $\widetilde{\nabla}$ is metric connection.
Pseudo-Riemannian Weakly Symmetric Manifolds
Pseudo-Riemannian Weakly Symmetric Manifolds Differential Geometry
2011/9/19
Abstract: There is a well developed theory of weakly symmetric Riemannian manifolds. Here it is shown that several results in the Riemannian case are also valid for weakly symmetric pseudo-Riemannian ...
Weyl-Schouten Theorem for symmetric spaces
Weyl tensor symmetric space Differential Geometry
2011/9/16
Abstract: Let N be a symmetric space of dimension n > 5 whose de Rham decomposition contains no factors of constant curvature and let W be the Weyl tensor of N at some point. We prove that a Riemannia...
Optimal paths for symmetric actions in the unitary group
geodesic segment Lagrangian optimal path unitarily invariant norm unitary group Grassmann manifold angular metric
2011/9/5
Abstract: Given a positive and unitarily invariant Lagrangian L defined in the algebra of Hermitian matrices, and a fixed interval $[a,b]\subset\mathbb R$, we study the action defined in the Lie group...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry future developments
2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
Weakly regular T2 symmetric spacetimes. The global geometry of future developments
regular T2 symmetric spacetimes global geometry of future developments
2011/3/4
Under weak regularity assumptions, only, we develop a fully geometric theory of vacuum
Einstein spacetimes with T2–symmetry, establish the global well-posedness of the initial value
problem for Eins...
A triangulation of $\CC P^3$ as symmetric cube of $S^2$
Triangulated manifolds Complex projective space Symmetric power Product of 2-spheres
2011/2/21
The symmetric group S3 acts on S 2 × S 2 × S 2 by coordinate permutation, and the quotient space (S 2×S 2×S 2)/S3 is homeomorphic to the complex projective space CP 3.In this paper.
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
Application of Hilbert's Projective metric on Symmetric Cones
Hilbert's projective metric Symmetric cone
2007/12/11
Let $\Omega$ be a symmetric cone. In this note, we introduce Hilbert's projective metric on $\Omega$ in terms of Jordan algebras and we apply it to prove that, given a linear invertible transformation...
期刊信息
篇名
Average sampling in shift invariant subspaces with symmetric …
语种
英文
撰写或编译
作者
孙文昌,周性伟
第一作者单位
刊物名称
J. Math. Anal. Appl
页面
287(1),279-295, 2003
出版日期
2003年
月
日
文章标识(ISSN)
相关项目
采样理论与信号处理