Results 51 to 60 of about 469,072 (354)
Endomorphisms of spaces of virtual vectors fixed by a discrete group
, 2015 Consider a unitary representation $\pi$ of a discrete group $G$, which, when restricted to an almost normal subgroup $\Gamma\subseteq G$, is of type II.
Radulescu, Florin
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Unitary $L^{p+}$-representations of almost automorphism groups
Comptes Rendus. MathématiqueLet $G$ be a locally compact group with an open subgroup $H$ with the Kunze–Stein property, and let $\pi $ be a unitary representation of $H$. We show that the representation $\widetilde{\pi }$ of $G$ induced from $\pi $ is an $L^{p+}$-representation if ...
Dabeler, Antje +3 more
doaj +1 more source
Quantum symmetries and the Weyl-Wigner product of group representations
, 2002 In the usual formulation of quantum mechanics, groups of automorphisms of quantum states have ray representations by unitary and antiunitary operators on complex Hilbert space, in accordance with Wigner's Theorem.
Bracken, A. J. +2 more
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An external approach to unitary representations [PDF]
Bulletin of the American Mathematical Society, 1993 The main aim of this paper is to present the ideas which lead first to the solution of the unitarizability problem for $\GL(n)$ over nonarchimedean local fields and to the recognition that the same result holds over archimedean local fields, a result which was proved by Vogan using an internal approach. Let us say that the approach that we are going to
openaire +2 more sources
An Algebraic Roadmap of Particle Theories
Annalen der Physik, Volume 537, Issue 4, April 2025.The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley +2 more sources
MathematicsWe geometrically derive the explicit form of the unitary representation of the Poincaré group for vector-valued wave functions and use it to apply speed-of-light boosts to a simple polarization basis to end up with a Hawton–Baylis photon position ...
Arkadiusz Jadczyk
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Spectral theory for non-unitary twists
, 2018 Let $G$ be a Lie-group and $\Ga\subset G$ a cocompact lattice. For a finite-dimensional, not necessarily unitary representation $\om$ of $\Ga$ we show that the $G$-representation on $L^2(\Ga\bs G,\om)$ admits a complete filtration with irreducible ...
Deitmar, Anton
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Interpolation spaces and unitary representations [PDF]
Proceedings of the American Mathematical Society, 1981 Let G G be a Lie group, π \pi a unitary representation of G G on a Hilbert space H ( π ) \mathcal {H}(\pi ) , and H k ( π ) {
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Superconductivity in PrNiO2 Infinite‐Layer Nickelates
Advanced Materials, Volume 37, Issue 16, April 23, 2025.This study unveils a superconducting state in undoped parent compound PrNiO2 thin films, challenging previous views on nickelate superconductivity. Through scanning transmission electron microscopy and spectroscopic techniques, the research demonstrates the high structural quality and distinct electronic properties of the thin films grown by pulsed ...
Hoshang Sahib +8 more
wiley +1 more source
Absolute continuity and hyponormal operators
International Journal of Mathematics and Mathematical Sciences, 1981 Let T be a completely hyponormal operator, with the rectangular representation T=A+iB, on a separable Hilbert space. If 0 is not an eigenvalue of T* then T also has a polar factorization T=UP, with U unitary. It is known that A,B and U are all absolutely
C. R. Putnam
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