Results 11 to 20 of about 4,350 (203)
$C^*$-algebras generated by projective representations of free nilpotent groups [PDF]
We compute the two-cocycles (or multipliers) of the free nilpotent groups of class $2$ and rank $n$ and give conditions for simplicity of the corresponding twisted group $C^*$-algebras. These groups are representation groups for $\mathbb{Z}^n$ and can be
Tron Omland
semanticscholar +1 more source
Schur’s theory for partial projective representations [PDF]
This article focuses on those aspects about partial actions of groups which are related to Schur’s theory on projective representations. It provides an exhaustive description of the partial Schur multiplier, and this result is achieved by introducing the
M. Dokuchaev, Nicola Sambonet
semanticscholar +2 more sources
Projective representations of Heisenberg groups over the rings of order 𝑝2
We describe the 2-cocycles, Schur multiplier and representation group of discrete Heisenberg groups over the unital rings of order p2p^{2}. We also describe all projective representations of Heisenberg groups with entries from the rings Z/p2Z\mathbb{Z ...
Sumana Hatui +2 more
semanticscholar +1 more source
Unitary multiplier and dilation of projective isometric representation
Let \(G\) be a group and \(S\) be its normal subsemigroup. There has been considerable interest in extension of complex multipliers on \(S\) to multipliers on \(G\). The paper under review generalises the earlier work of \textit{G.\,J.\thinspace Murphy} [Proc.\ Am.\ Math.\ Soc.\ 125, No.\,1, 121--127 (1997; Zbl 0860.47003)] on this topic to the case of
Ji, Un Cig +2 more
openaire +2 more sources
From Endomorphisms to Automorphisms and Back: Dilations and Full Corners [PDF]
When S is a discrete subsemigroup of a discrete group G such that G = S−1S, it is possible to extend circle‐valued multipliers from S to G, to dilate (projective) isometric representations of S to (projective) unitary representations of G, and to dilate ...
Marcelo Laca
semanticscholar +1 more source
Asymptotic boundary forms for tight Gabor frames and lattice localization domains [PDF]
We consider Gabor localization operators $G_{\phi,\Omega}$ defined by two parameters, the generating function $\phi$ of a tight Gabor frame $\{\phi_\lambda\}_{\lambda \in \Lambda}$, parametrized by the elements of a given lattice $\Lambda \subset \Bbb{R}^
Bf A +4 more
core +1 more source
A survey on dilations of projective isometric representations [PDF]
In this paper we present Laca-Raeburn's dilation theory of projective isometric representations of a semigroup to projective isometric representations of a group [M.Laca and I.Raeburn, Proc. Amer. Math.
Tania-Luminiţa Costache
doaj
Spinning Particle Dynamics on Six-Dimensional Minkowski Space [PDF]
Massive spinning particle in $6d$-Minkowski space is described as a mechanical system with the configuration space $R^{5,1} \times CP^3$. The action functional of the model is unambiguously determined by the requirement of identical (off-shell ...
Lyakhovich, S. L. +2 more
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Completely bounded bimodule maps and spectral synthesis [PDF]
We initiate the study of the completely bounded multipliers of the Haagerup tensor product $A(G)\otimes_{\rm h} A(G)$ of two copies of the Fourier algebra $A(G)$ of a locally compact group $G$. If $E$ is a closed subset of $G$ we let $E^{\sharp} = \{(s,t)
Alaghmandan, M. +2 more
core +2 more sources
Multidimensional operator multipliers
We introduce multidimensional Schur multipliers and characterise them generalising well known results by Grothendieck and Peller. We define a multidimensional version of the two dimensional operator multipliers studied recently by Kissin and Shulman. The
Juschenko, K. +2 more
core +1 more source

