Results 11 to 20 of about 11,023 (307)

Editorial to the Special Issue “80 Years of Professor Wigner’s Seminal Work: On Unitary Representations of the Inhomogeneous Lorentz Group”

open access: yesUniverse, 2021
The present Special Issue is dedicated to celebrate 80 years of the Professor Eugene Paul Wigner paper “On Unitary Representations of the Inhomogeneous Lorentz Group”, published in 1939 [...]
Julio Marny Hoff da Silva
doaj   +1 more source

On unitary submodules in the polynomial representations of rational cherednik algebras [PDF]

open access: yes, 2012
We consider representations of rational Cherednik algebras that are particular ideals in the ring of polynomials. We investigate convergence of the integrals that express the Gaussian inner product on these representations.
Shramov, C., Feigin, M.
core   +1 more source

Explicit calculations of automorphic forms for definite unitary groups [PDF]

open access: yes, 2008
I give an algorithm for computing the full space of automorphic forms for definite unitary groups over Q, and apply this to calculate the automorphic forms of level G(^Z) and various small weights for an example of a rank 3 unitary group.
David Loeffler, Loeffler, David
core   +1 more source

The conformal characters

open access: yesJournal of High Energy Physics, 2018
We revisit the study of the multiplets of the conformal algebra in any dimension. The theory of highest weight representations is reviewed in the context of the Bernstein-Gelfand-Gelfand category of modules.
Antoine Bourget, Jan Troost
doaj   +1 more source

Advances in Evolutionary Optimization of Quantum Operators

open access: yesMendel, 2021
A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.A comparative study is presented regarding the evolutionary design of quantum operators in the form of unitary matrices.
Petr Žufan, Michal Bidlo
doaj   +3 more sources

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
Parry, W., Schmidt, K.
openaire   +1 more source

Fuzzy de Sitter space

open access: yesEuropean Physical Journal C: Particles and Fields, 2018
We discuss properties of fuzzy de Sitter space defined by means of algebra of the de Sitter group $$\text {SO}(1,4)$$ SO(1,4) in unitary irreducible representations.
Maja Burić   +2 more
doaj   +1 more source

Unitary representations of the W3-algebra with c ≥ 2 [PDF]

open access: yes, 2023
We prove unitarity of the vacuum representation of the W_3-algebra for all values of the central charge c ≥ 2.We do it by modifying the free field realization of Fateev and Zamolodchikov resulting in a representation which, by a nontrivial argument, can
Carpi S, Tanimoto Y, Weiner M.
core   +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

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