Results 51 to 60 of about 291,666 (209)

g-frame generator sets for projective unitary representations

AIMS Mathematics
Frames with special structures play a crucial role in various industrial applications, such as medical imaging, quantum communication, recognition and identification software, and so on.
Aifang Liu, Jian Wu
doaj   +1 more source

Dynamics for holographic codes

Journal of High Energy Physics, 2020
We describe how to introduce dynamics for the holographic states and codes introduced by Pastawski, Yoshida, Harlow and Preskill. This task requires the definition of a continuous limit of the kinematical Hilbert space which we argue may be achieved via ...
Tobias J. Osborne, Deniz E. Stiegemann
doaj   +1 more source

Unitary groups over local rings

, 2013
Structural properties of unitary groups over local, not necessarily commutative, rings are developed, with applications to the computation of the orders of these groups (when finite) and to the degrees of the irreducible constituents of the Weil ...
Cruickshank, J., Herman, A., Quinlan, R., Szechtman, F.   +3 more
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Permutation Symmetry Determines the Discrete Wigner Function

, 2016
The Wigner function provides a useful quasiprobability representation of quantum mechanics, with applications in various branches of physics. Many nice properties of the Wigner function are intimately connected with the high symmetry of the underlying ...
Zhu, Huangjun
core   +1 more source

UNITARY REPRESENTATIONS OF W INFINITY ALGEBRAS [PDF]

International Journal of Modern Physics A, 1992
We study the irreducible unitary highest weight representations, which are obtained from free field realizations, of W infinity algebras [Formula: see text] with central charges (2, 1, 3, 2M, N, 2M+N). The characters of these representations are computed.
openaire   +2 more sources

Boundary unitary representations-irreducibility and rigidity

Journal of Modern Dynamics, 2011
Let $M$ be compact negatively curved manifold, $ = _1(M)$ and $\tilde{M}$ be its universal cover. Denote by $B =\partial \tilde{M}$ the geodesic boundary of $\tilde{M}$ and by $ $ the Patterson-Sullivan measure on $X$. In this note we prove that the associated unitary representation of $ $ on $L^2(B, )$ is irreducible.
Bader, Uri, Muchnik, Roman
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Low-dimensional unitary representations of 𝐵₃ [PDF]

Proceedings of the American Mathematical Society, 2001
We characterize all simple unitarizable representations of the braid group B 3 B_3 on complex vector spaces of dimension d ≤ 5 d \leq 5 . In particular, we prove that if σ 1 \sigma _1 and σ 2 \sigma _2 ...
openaire   +2 more sources

Reflection Positivity and Conformal Symmetry

, 2013
The concept of reflection positivity has its origins in the work of Osterwalder--Schrader on constructive quantum field theory and duality between unitary representations of the euclidean motion group and the Poincare group.
Neeb, Karl-Hermann, Olafsson, Gestur
core   +1 more source

Remarks on the Representation Theory of the Moyal Plane

Advances in Mathematical Physics, 2011
We present an explicit construction of a unitary representation of the commutator algebra satisfied by position and momentum operators on the Moyal plane.
J. M. Isidro, P. Fernández de Córdoba, J. M. Rivera-Rebolledo, J. L. G. Santander   +3 more
doaj   +1 more source

On the Connection between Spherical Laplace Transform and Non-Euclidean Fourier Analysis

Mathematics, 2020
We prove that, if the coefficients of a Fourier−Legendre expansion satisfy a suitable Hausdorff-type condition, then the series converges to a function which admits a holomorphic extension to a cut-plane. Next, we introduce a Laplace-type transform
Enrico De Micheli
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