Results 21 to 30 of about 11,023 (307)

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

open access: yesJournal 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

Tight Representations of 0-𝐸-Unitary Inverse Semigroups

open access: yesAbstract and Applied Analysis, 2011
We study the tight representation of a semilattice in {0,1} by some examples. Then we introduce the concept of the complex tight representation of an inverse semigroup 𝑆 by the concept of the tight representation of the semilattice of idempotents 𝐸 of 𝑆 ...
Bahman Tabatabaie Shourijeh   +1 more
doaj   +1 more source

Classical and quantum particles from nongeneric conformal orbits

open access: yesNuclear Physics B, 2023
The nongeneric six- and eightdimensional orbits of SO(4,2) are described in explicitly covariant way. The relevant Hamiltonian dynamical systems are constructed and canonically quantized.
Piotr Kosiński, Paweł Maślanka
doaj   +1 more source

EXTREMAL VECTORS FOR VERMA TYPE REPRESENTATION OF B2

open access: yesActa Polytechnica, 2013
Starting from the Verma modules of the algebra B2 we explicitly construct factor representations of the algebra B2 which are connected with the unitary representation of the group SO(3, 2).
Čestmír Burdík, Ondřej Navrátil
doaj   +1 more source

Wilson loops in unitary matrix models at finite N

open access: yesJournal of High Energy Physics, 2017
It is known that the expectation value of Wilson loops in the Gross-Witten-Wadia (GWW) unitary matrix model can be computed exactly at finite N for arbitrary representations.
Kazumi Okuyama
doaj   +1 more source

Unitary Representations of Unitary Groups [PDF]

open access: yes, 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   +2 more sources

Representations of Anisotropic Unitary Groups [PDF]

open access: yesTransactions of the American Mathematical Society, 1988
Let S U ( f ) SU(f)
openaire   +2 more sources

Enlargement of Symmetry Groups in Physics: A Practitioner’s Guide

open access: yesUniverse
Wigner’s classification has led to the insight that projective unitary representations play a prominent role in quantum mechanics. The physics literature often states that the theory of projective unitary representations can be reduced to the theory of ...
Lehel Csillag   +2 more
doaj   +1 more source

Berezin correspondence and unitary representations [PDF]

open access: yes
Let G be a Lie group and let π be a unitary representation of G on a reproducing kernel Hilbert space consisting of functions on a G-space M. We study the Berezin correspondence on M in connection with π.
Benjamin, Cahen
core   +2 more sources

Galilei particles revisited

open access: yesSciPost Physics Lecture Notes
We revisit the classifications of classical and quantum galilean particles: that is, we fully classify homogeneous symplectic manifolds and unitary irreducible projective representations of the Galilei group.
José Miguel Figueroa-O'Farrill, Simon Pekar, Alfredo Pérez, Stefan Prohazka
doaj   +1 more source

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