Results 21 to 30 of about 1,660,234 (361)
Transfer of Unitary Representations [PDF]
Asian Journal of Mathematics, 2004 Introduction. This paper has as its primary purpose a clear exposition of the idea in [21] which we describe as transfer between real forms of a semi-simple Lie group over C. The basic point is that there are representations of one real form that can be more easily understood in the context of another real from.
Wallach, Nolan R., Zhu, Chen-Bo
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The conjugacy relation on unitary representations [PDF]
Mathematical Research Letters, 2012 We show that the unitary conjugacy relation for unitary representations of a second countable locally compact group on a separable Hilbert space is a Borel equivalence relation.
Hjorth, Greg, Törnquist, Asger Dag
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On Constructing Informationally Complete Covariant Positive Operator-Valued Measures
Entropy, 2023 We study a projective unitary representation of the product G=G˜×G, where G is a locally compact Abelian group and G^ is its dual consisting of characters on G.
Grigori Amosov
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Representation and design of wavelets using unitary circuits [PDF]
, 2016 The representation of discrete, compact wavelet transformations (WTs) as circuits of local unitary gates is discussed. We employ a similar formalism as used in the multiscale representation of quantum many-body wave functions using unitary circuits ...
G. Evenbly, S. White
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Homotopy representations of the unitary groups [PDF]
Algebraic & Geometric Topology, 2016 Let $G$ be a compact connected Lie group and let $ , $ be complex vector bundles over the classifying space $BG$. The problem we consider is whether $ $ contains a subbundle which is isomorphic to $ $. The necessary condition is that for every prime $p$ the restriction $ |_{BN_p^G}$, where $N_p^G$ is a maximal $p$-toral subgroup of $G$, contains a
Lubawski, Wojciech +1 more
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A note on cocycles of unitary representations [PDF]
Proceedings 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
William Parry, Klaus Schmidt
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Covariant catalysis requires correlations and good quantum reference frames degrade little [PDF]
Quantum, 2023 Catalysts are quantum systems that open up dynamical pathways between quantum states which are otherwise inaccessible under a given set of operational restrictions while, at the same time, they do not change their quantum state.
Lauritz van Luijk +2 more
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Hamiltonian Quantization of Chern-Simons theory with SL(2,C) Group [PDF]
, 2002 We analyze the hamiltonian quantization of Chern-Simons theory associated to the universal covering of the Lorentz group SO(3,1). The algebra of observables is generated by finite dimensional spin networks drawn on a punctured topological surface.
Alekseev A Yu +22 more
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On cospectrality of gain graphs
Special Matrices, 2022 We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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The unitary representations of the Poincar\'e group in any spacetime dimension
SciPost Physics Lecture Notes, 2021 An extensive group-theoretical treatment of linear relativistic field equations on Minkowski spacetime of arbitrary dimension $D\geqslant 3$ is presented.
Xavier Bekaert, Nicolas Boulanger
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