搜索结果: 1-15 共查到“泛函分析 GROUPS”相关记录15条 . 查询时间(0.062 秒)
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
font style='font-size:12px;'>
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...
A general Kirillov Theory for locally compact nilpotent groups
Kirillov Theory compact nilpotent groups Operator Algebras
font style='font-size:12px;'>
2011/9/22
Abstract: We discuss a very general Kirillov Theory for the representations of certain nilpotent groups which gives a combined view an many known examples from the literature.
Completely positive multipliers of quantum groups
Locally compact quantum group manageable multiplicative unitary completely bounded multiplier
font style='font-size:12px;'>
2011/9/21
Abstract: We show that any completely positive multiplier of the convolution algebra of the dual of an operator algebraic quantum group $\G$ (either a locally compact quantum group, or a quantum group...
Completely bounded representations of convolution algebras of locally compact quantum groups
Locally compact quantum group Fourier algebra completely bounded homomorphism corepresentation amenability
font style='font-size:12px;'>
2011/9/1
Abstract: Given a locally compact quantum group $\G$, we study the question of when completely bounded homomorphisms $\pi:L^1(\mathbb G)\rightarrow\mathcal B(H)$ are similar to *-homomorphisms. By ana...
Quantum isometry groups of symmetric groups
quantum group quantum isometry spectral triple Hopf algebra
font style='font-size:12px;'>
2011/8/30
Abstract: We identify the quantum isometry groups of spectral triples built on the symmetric groups with length functions arising from the nearest-neighbor transpositions as generators. It turns out t...
Iterative character constructions for algebra groups
Iterative character constructions algebra groups
font style='font-size:12px;'>
2011/1/20
We construct a family of orthogonal characters of an algebra group which decompose the supercharacters defined by Diaconis and Isaacs [6]. Like supercharacters, these characters are
given by nonnegat...
Operator algebra quantum homogeneous spaces of universal gauge groups
quantum groups quantum homogeneous spaces universal gauge
font style='font-size:12px;'>
2011/3/1
In this paper, we quantize universal gauge groups such as SU(∞), as well as their homogeneous spaces, in the -C-algebra setting.
Relative trace formulae toward Bessel and Fourier-Jacobi periods of unitary groups
Relative trace formulae Fourier-Jacobi periods of unitary groups
font style='font-size:12px;'>
2011/2/24
We propose a relative trace formula approach and state the corresponding fundamental lemma
toward the global restriction problem involving Bessel or Fourier-Jacobi periods of unitary groups Un×Um, ex...
Space functions of groups
Space functionsp groups
font style='font-size:12px;'>
2010/12/8
Time and space complexities are the main properties of algorithms. Their counterparts in Group Theory are the Dehn and filling length (or space) functions of finitely presented groups. In this paper, ...
Topological invariants from non-restricted quantum groups
Topological invariants non-restricted quantum groups
font style='font-size:12px;'>
2010/12/9
We introduce the notion of a relative spherical category. We prove that such a category
gives rise to the generalized Kashaev and Turaev-Viro-type 3-manifold invariants de ned in [12] and [17], respe...
Minimal Lagrangian Surfaces in CH2 and Representations of Surface Groups into SU(2,1)
Minimal Lagrangian Surfaces Representations
font style='font-size:12px;'>
2010/12/6
The equation ∂2 ∂z∂¯z log(s2) = |Q|2s−4 + s2 (1.1) is satisfied by the conformally flat metric s2|dz|2 of a minimal Lagrangian surface in the complex hyperbolic plane CH2,...
Minimal representations of conformal groups and generalized Laguerre functions
Minimal representations conformal groups generalized Laguerre functions
font style='font-size:12px;'>
2010/12/10
We give a unified construction of the minimal representation of a finite cover G of the conformal group of a (non necessarily euclidean) Jordan algebra V . This representation is realized on the L2-sp...
Covariant Dirac Operators on Quantum Groups
Quantum group Dirac operator Clifford algebra
font style='font-size:12px;'>
2010/12/9
We give a construction of a Dirac operator on a quantum group based on any simple Lie algebra
of classical type. The Dirac operator is an element in the vector space clq(g) U q(g), where the first t...
Two-parameter families of quantum symmetry groups
Quantum symmetry groups quantum isometry groups liberation
font style='font-size:12px;'>
2010/12/13
We introduce and study natural two-parameter families of quan-tum groups motivated on one hand by the liberations of classical orthogonal groups and on the other by quantum isometry groups of the dual...
Measure of curves in graded groups
graded groups Hausdorff measure smooth curves
font style='font-size:12px;'>
2010/12/14
We establish an area-type formula for the intrinsic spherical Hausdorff measure of every regular curve embedded in an arbitrary graded group.