Results 11 to 20 of about 11,023 (307)
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
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On unitary submodules in the polynomial representations of rational cherednik algebras [PDF]
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.
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Explicit calculations of automorphic forms for definite unitary groups [PDF]
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
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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
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Advances in Evolutionary Optimization of Quantum Operators
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
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A note on cocycles of unitary representations [PDF]
Given a unitary representation U U of a locally compact abelian group
Parry, W., Schmidt, K.
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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
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Unitary representations of the W3-algebra with c ≥ 2 [PDF]
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.
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Numerical integration of quantum time evolution in a curved manifold
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
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(Non-)unitarity of strictly and partially massless fermions on de Sitter space
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
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