Results 1 to 10 of about 11,023 (307)
Unitary Representations of Oligomorphic Groups [PDF]
Geometric and Functional Analysis, 2012 Removed the requirement that an oligomorphic group be closed in Definition 1.2 in order to render Theorem 2.4 correct.
Todor Tsankov
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Unitary Groups: Representations and Decompositions [PDF]
Reviews of Modern Physics, 1966 An elementary account is given of the representation theory for unitary groups. We review the basic definitions and the construction of irreducible representations using tensor methods, and indicate the connection to the infinitesimal approach. Special attention has been given to the detailed procedure to obtain Clebsch-Gordan series and to the problem
C Itzykson, M Nauenberg
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Boundary unitary representations-irreducibility and rigidity
Journal of Modern Dynamics, 2011 Let $M$ be compact negatively curved manifold, $Γ=π_1(M)$ and $\tilde{M}$ be its universal cover. Denote by $B =\partial \tilde{M}$ the geodesic boundary of $\tilde{M}$ and by $ν$ the Patterson-Sullivan measure on $X$. In this note we prove that the associated unitary representation of $Γ$ on $L^2(B,ν)$ is irreducible.
Bader, Uri, Muchnik, Roman
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Transfer of Unitary Representations [PDF]
Asian Journal of Mathematics, 2004 In the present paper, the authors explain and give applications of the notion of transfer between real forms of a semi-simple Lie group \(G^{\mathbb C}\) over \(\mathbb C\), which first appeared in [\textit{N. R. Wallach}, Contemp. Math. 177, 181--216 (1994; Zbl 0833.22021)]. The main idea is that some representation of a real form of \(G^{\mathbb C}\)
Wallach, Nolan R., Zhu, Chen-Bo
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On families of twisted power partial isometries
Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider families of power partial isometries satisfying twisted commutation relations with deformation parameters $\lambda_{ij}\in\mathbb C$, $|\lambda_{ij}|=1$.
V.L. Ostrovskyi +2 more
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Dyson’s classification and real division superalgebras
Journal of High Energy Physics, 2021 It is well-known that unitary irreducible representations of groups can be usefully classified in a 3-fold classification scheme: Real, Complex, Quaternionic.
Roman Geiko, Gregory W. Moore
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Unitarity at the late time boundary of de Sitter
Journal of High Energy Physics, 2020 The symmetry group of the de Sitter spacetime, accommodates fields of various masses and spin among its unitary irreducible representations. These unitary representations are labeled by the spin and the weight contribution to the scaling dimension and ...
Gizem Şengör, Constantinos Skordis
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Conformal wavefunctions for graviton amplitudes
Journal of High Energy Physics, 2022 The extended-BMS algebra of asymptotically flat spacetime contains an SO(3, 1) subgroup that acts by conformal transformations on the celestial sphere. It is of interest to study the representations of this subgroup associated with gravitons.
Chang Liu, David A. Lowe
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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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Topological Boundaries of Unitary Representations [PDF]
International Mathematics Research Notices, 2020 AbstractWe introduce and study a generalization of the notion of the Furstenberg boundary of a discrete group $\Gamma $ to the setting of a general unitary representation $\pi : \Gamma \to B(\mathcal H_\pi )$. This space, which we call the “Furstenberg–Hamana boundary” (or "FH-boundary") of the pair $(\Gamma , \pi )$, is a $\Gamma $-invariant subspace ...
Bearden, Alex, Kalantar, Mehrdad
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