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A note on cocycles of unitary representations [PDF]

open access: yesProceedings of the American Mathematical Society, 1976
Given a unitary representation U U of a locally compact abelian group G G , we investigate the relationship between two cocycles a 1 , a 2 : V a 1
Parry, W., Schmidt, K.
openaire   +1 more source

Numerical integration of quantum time evolution in a curved manifold

open access: yesPhysical Review Research, 2021
The numerical integration of the Schrödinger equation by discretization of time is explored for the curved manifolds arising from finite representations based on evolving basis states.
Jessica F. K. Halliday, Emilio Artacho
doaj   +1 more source

(Non-)unitarity of strictly and partially massless fermions on de Sitter space

open access: yesJournal of High Energy Physics, 2023
We present the dictionary between the one-particle Hilbert spaces of totally symmetric tensor-spinor fields of spin s = 3/2, 5/2 with any mass parameter on D-dimensional (D ≥ 3) de Sitter space (dS D ) and Unitary Irreducible Representations (UIR’s) of ...
Vasileios A. Letsios
doaj   +1 more source

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

Induced PUA representations and selection rules [PDF]

open access: yes, 1978
Well known properties of induced unitary representations are generalised for induced PUA representations. They are applied to obtain an expression for the multiplicities in the Clebsch-Gordon series of induced PUA representations.
Broek, P.M. van den
core   +4 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

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