Results 61 to 70 of about 1,660,234 (361)

Unitary $L^{p+}$-representations of almost automorphism groups

Comptes Rendus. Mathématique
Let $G$ 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, Mai Elkiær, Emilie, Gerasimova, Maria, de Laat, Tim   +3 more
doaj   +1 more source

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
core   +1 more source

Spherical distribution vectors [PDF]

, 2002
In this paper we consider a locally compact second countable unimodular group $G$ and a closed unimodular subgroup $H$. Let $\rho$ be a finite dimensional unitary representation of $H$ with closed image.
Helminck, A.G., Helminck, G.F.
core   +4 more sources

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

The Explicit Form of the Unitary Representation of the Poincaré Group for Vector-Valued Wave Functions (Massive and Massless), with Applications to Photon Localization and Position Operators

Mathematics
We 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
doaj   +1 more source

Born's Rule From the Principle of Unitary Equivalence

, 2019
Complex phase factors are viewed not only as redundancies of the quantum formalism but instead as remnants of unitary transformations under which the probabilistic properties of observables are invariant.
Wallentin, Fritiof
core   +1 more source

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 ) {
openaire   +1 more source

Spin‐Polarized Antiferromagnets for Spintronics

Advanced Materials, EarlyView.
This review highlights recent advances in anomalous and spin transport phenomena in spin‐polarized antiferromagnets. Key effects—including the anomalous Hall, Nernst, and magneto‐optical effects—are discussed across various antiferromagnetic platforms.
Zhenzhou Guo, Xiaotian Wang, Wenhong Wang, Gang Zhang, Xiaodong Zhou, Zhenxiang Cheng   +5 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
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., Cassinelli, G., Wood, J. G.   +2 more
core   +1 more source