Results 1 to 10 of about 4,231 (84)

Extensions of multipliers and dilations of projective isometric representations [PDF]

open access: yesProceedings of the American Mathematical Society, 1997
Summary: An elementary proof of a multiplier extension theorem of \textit{M. Laca} and \textit{I. Raeburn} [Proc. Am. Math. Soc. 123, No. 2, 355-362 (1995; Zbl 0841.20058)] is presented. A very general dilation theorem is also derived.
G. Murphy
openaire   +2 more sources

Hilbert C-modules and projective representations associated with multipliers

open access: yesJournal of Mathematical Analysis and Applications, 2007
The Naimark--Sz.--Nagy characterization of positive definite functions on groups and Stinespring's decomposition for completely positive maps on a \(C^*\)-algebra are well-known representation theorems. The covariant extension of Stinespring's theorem was given by \textit{V.\,Paulsen} [Mich.\ Math.\ J.\ 29, 131--142 (1982; Zbl 0507.46060)], and a more ...
Jaeseong Heo
semanticscholar   +4 more sources

Continuity and measurability of multiplier and projective representations

open access: yesJournal of Functional Analysis, 1974
AbstractIt is shown that various kinds of measurability of a multiplier representation of a locally compact group are equivalent, and are equivalent to the continuity of an ordinary representation of a related group. A unitary representation with measurable coefficients is the sum of a strongly continuous representation and a representation all of ...
A. Kleppner
openaire   +3 more sources

Projective representation of k-Galilei group [PDF]

open access: yes, 1998
The projective representations of k-Galilei group G_k are found by contracting the relevant representations of k-Poincare group. The projective multiplier is found.
  +18 more
core   +3 more sources

Projective Representations, Bogomolov Multiplier, and Their Applications in Physics

open access: yesInternational Journal of Theoretical Physics
We present a pedagogical review of projective representations of finite groups and their physical applications in quantum many-body systems. Some of our physical results are new. We begin with a self-contained introduction to projective representations, highlighting the role of group cohomology, representation theory, and classification of irreducible ...
Kobayashi, Ryohei, Watanabe, Haruki
openaire   +3 more sources

Hofstadter Topology with Real Space Invariants and Reentrant Projective Symmetries. [PDF]

open access: yesPhysical Review Letters, 2022
Adding magnetic flux to a band structure breaks Bloch's theorem by realizing a projective representation of the translation group. The resulting Hofstadter spectrum encodes the nonperturbative response of the bands to flux.
J. Herzog-Arbeitman   +18 more
semanticscholar   +1 more source

Some Properties of Univariate and Multivariate Exponential Power Distributions and Related Topics

open access: yesMathematics, 2020
In the paper, a survey of the main results concerning univariate and multivariate exponential power (EP) distributions is given, with main attention paid to mixture representations of these laws.
Victor Korolev
doaj   +1 more source

Compatible systems of symplectic Galois representations and the inverse Galois problem I. Images of projective representations [PDF]

open access: yes, 2012
This article is the first part of a series of three articles about compatible systems of symplectic Galois representations and applications to the inverse Galois problem. In this first part, we determine the smallest field over which the projectivisation
S. Arias-de-Reyna   +2 more
semanticscholar   +1 more source

On projective representations of finitely generated groups [PDF]

open access: yesCommunications in Algebra, 2020
We prove a characterization of monomial projective representations of finitely generated nilpotent groups. We also characterize polycyclic groups whose projective representations are finite dimensional.
Sumana Hatui   +2 more
semanticscholar   +1 more source

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