搜索结果: 16-28 共查到“理学 Lie groups”相关记录28条 . 查询时间(0.227 秒)
Zeta-functions of weight lattices of compact semisimple connected Lie groups
Zeta-functions compact semisimple connected Lie groups
2010/11/8
We define zeta-functions of weight lattices of compact semisimple connected Lie groups. If the group is simply-connected, these zeta-functions coincide with ordinary zeta-functions of root systems of ...
On duality and negative dimensions in the theory of Lie groups and symmetric spaces
duality negative dimensions theory Lie groups symmetric spaces
2010/11/8
We give one more interpretation of the symbolic formulae $U(-N)=U(N)$ and $Sp(-2N)=SO(2N)$ by comparing the values of certain Casimir operators in the corresponding tensor representations. We show al...
Equivariant K-theory for proper actions of non-compact Lie groups
Equivariant K-theory proper actions non-compact Lie groups
2010/11/8
Generalizing a construction of Wolfgang L\"uck and Bob Oliver, we define a good equivariant cohomology theory on the category of proper G-CW complexes when G is an arbitrary Lie group (possibly non-c...
Holomorphic Realization of Unitary Representations of Banach--Lie Groups
Holomorphic Realization Unitary Representations Banach--Lie Groups
2010/11/11
In this paper we explore the method of holomorphic induction for unitary representations of Banach--Lie groups. First we show that the classification of complex bundle structures on homogeneous Banac...
We study three natural bi-invariant partial orders on a certain covering group of the automorphism group of a bounded symmetric domain of tube type; these orderings are defined using the geometry of ...
Invariant generalized complex structures on Lie groups
Invariant generalized complex structures Lie groups
2010/11/30
We find an infinitesimal description of invariant generalized complex structures on Lie groups. We develop a systematic treatment of a class (called regular) of invariant generalized complex structure...
Some functional inequalities on polynomial volume growth Lie groups
Sobolev inequalities polynomial volume growth Lie groups
2010/12/7
We study in this article some Sobolev-type inequalities on polynomial volume growth Lie groups. We show in particular that improved Sobolev inequalities can be extended without
the use of the Littlew...
Unitary representations of unimodular Lie groups in Bergman spaces
Unitary representations of unimodular Lie groups Bergman spaces
2010/12/3
For G an arbitrary unimodular Lie group, we construct strongly continuous unitary representations of G in the Bergman space of a naturally constructed strongly pseudoconvex neighborhood of the complex...
An SKT metric is an Hermitian metric on a complex manifold whose fundamental 2-form ! satisfies @@! = 0. Streets and Tian introduced in [STb] a Ricci-type flow that preserves
the SKT condition.
Concerning the existence of Einstein and Ricci soliton metrics on solvable Lie groups
existence of Einstein Ricci soliton metrics solvable Lie groups
2010/12/8
In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics. Our main result shows that ...
Modified Symplectic Structures in Cotangent Bundles of Lie Groups
Symplectic Mechanics Noncommutative Configuration Space
2010/7/5
In earlier work [1], we studied an extension of the canonical symplectic structure in the cotangent bundle of an affine space Q = RN, by additional terms implying the Poisson non-commutativity of both...
Estimate of the $L^p$-Fourier Transform Norm on Strong *-Regular Exponential Solvable Lie Groups
Exponential Lie group Plancherel measure unitary representation coadjoint orbit $L^p$-Fourier transform
2007/12/13
We study the $L^{p}$-Fourier transform for a special class of exponential Lie groups, the strong $\ast$-regular exponential Lie groups. Moreover, we provide an estimate of its norm using the orbit met...
On Integrable Systems Related to Semisimple Lie Groups
Integrable Systems Semisimple Lie Groups
2010/4/15
Quantum scattering systems related to the noncompact semisimple Lie groups G in the sense that the Hamiltonian of the system can be written as a function of the Casimir operator of G are considered. T...