Results 31 to 40 of about 12,383,450 (356)

Unitary Representations of Unitary Groups [PDF]

, 2014
In this paper we review and streamline some results of Kirillov, Olshanski and Pickrell on unitary representations of the unitary group $\U(\cH)$ of a real, complex or quaternionic separable Hilbert space and the subgroup $\U_\infty(\cH)$, consisting of those unitary operators $g$ for which $g - \1$ is compact.
openaire   +3 more sources

On the Unitary Representations of the Braid Group B₆

Mathematics, 2019
We consider a non-abelian leakage-free qudit system that consists of two qubits each composed of three anyons. For this system, we need to have a non-abelian four dimensional unitary representation of the braid group B 6 to obtain a totally ...
Malak M. Dally, Mohammad N. Abdulrahim
doaj   +1 more source

An angular momentum approach to quadratic Fourier transform, Hadamard matrices, Gauss sums, mutually unbiased bases, the unitary group and the Pauli group [PDF]

, 2009
The construction of unitary operator bases in a finite-dimensional Hilbert space is reviewed through a nonstandard approach combining angular momentum theory and representation theory of SU(2).
M. Kibler
semanticscholar   +1 more source

Homomorphisms of unitary groups [PDF]

Mathematische Zeitschrift, 1981
In Problem XVII from [4], Weisfeiler indicates a general formulation for homomorphisms between classical groups in terms of a congruence subgroup coming from an induced integral structure in the group. As he observes, certainly not all homomorphisms arise in this manner, but this formulation provides a good foundation for extending the fairly well ...
openaire   +1 more source

Groups normalized by the odd unitary group [PDF]

St. Petersburg Mathematical Journal, 2020
We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group $\mathrm{GL}(P)$ normalized by the elementary unitary group $\mathrm{EU}(P)$ if $P$ is a nondegenerate bimodule with large enough hyperbolic part.
openaire   +3 more sources

Orthogonal bases in specific generalized symmetry classes of tensors [PDF]

Journal of Mahani Mathematical Research
Let $V$ be a unitary vector space. Suppose $G$ is a permutation group of degree $m$ and $\Lambda$ is an irreducible unitary representation of $G$. We denote by $V_{\Lambda}(G)$ the generalized symmetry class of tensors associated with $G$ and $\Lambda ...
Gholamreza Rafatneshan, Yousef Zamani
doaj   +1 more source

Hardy-Type Space Associated with an Infinite-Dimensional Unitary Matrix Group

Abstract and Applied Analysis, 2013
We investigate an orthogonal system of the homogenous Hilbert-Schmidt polynomials with respect to a probability measure which is invariant under the right action of an infinite-dimensional unitary matrix group.
Oleh Lopushansky
doaj   +1 more source

A characterization of projective special unitary group U3(5) by nse

Arab Journal of Mathematical Sciences, 2014
Let G be a group and ω(G) be the set of element orders of G. Let k ∈ ω(G) and sk be the number of elements of order k in G. Let nse(G) = {sk∣k ∈ ω(G)}. In Khatami et al. and Liu’s works L3(2) and L3(4) are unique determined by nse(G).
Shitian Liu
doaj   +1 more source

ON A PRODUCT FORMULA FOR UNITARY GROUPS [PDF]

Bulletin of the London Mathematical Society, 2005
5 pages, submitted to the London Math ...
openaire   +5 more sources

Homotopy representations of the unitary groups [PDF]

Algebraic & Geometric Topology, 2016
Let $G$ be a compact connected Lie group and let $ , $ be complex vector bundles over the classifying space $BG$. The problem we consider is whether $ $ contains a subbundle which is isomorphic to $ $. The necessary condition is that for every prime $p$ the restriction $ |_{BN_p^G}$, where $N_p^G$ is a maximal $p$-toral subgroup of $G$, contains a
Lubawski, Wojciech, Ziemiański, Krzysztof   +1 more
openaire   +4 more sources