scholarly journals Canonical realization of Bondi-Metzner-Sachs symmetry: Quadratic Casimir

2016 ◽  
Vol 93 (2) ◽  
Author(s):  
Joaquim Gomis ◽  
Giorgio Longhi
1975 ◽  
Vol 63 (3) ◽  
pp. 538-540 ◽  
Author(s):  
M. Lal ◽  
H. Singh ◽  
R. Parthasarathy

2009 ◽  
Vol 16 (1) ◽  
pp. 105-130
Author(s):  
Vakhtang Lomadze ◽  
Eric Rogers ◽  
Jeffrey Wood

Abstract In this paper we study 2D Fornasini–Marchesini and 2D Givone–Roesser models from the viewpoint developed in our recent paper [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008]. We give necessary and sufficient conditions for a behavior to be expressable in Fornasini–Marchesini or Givone–Roesser form, and a canonical realization when the conditions are met. We also study the regularity, controllability and autonomy of these models. In particular, we provide the concepts of controllability in the sense of Kalman for each model, and show that they agree with the behavioral controllability as defined in [Lomadze, Rogers, Wood, Georgian Math. J. 15: 139–157, 2008].


Universe ◽  
2019 ◽  
Vol 5 (2) ◽  
pp. 41 ◽  
Author(s):  
Bekir Baytaş ◽  
Martin Bojowald ◽  
Sean Crowe

The paradigmatic models often used to highlight cosmological features of loop quantum gravity and group field theory are shown to be equivalent, in the sense that they are different realizations of the same model given by harmonic cosmology. The loop version of harmonic cosmology is a canonical realization, while the group-field version is a bosonic realization. The existence of a large number of bosonic realizations suggests generalizations of models in group field cosmology.


1985 ◽  
Vol 63 (8) ◽  
pp. 1061-1064 ◽  
Author(s):  
B. Lulek ◽  
T. Lulek ◽  
R. Chatterjee ◽  
J. Biel

The method of evaluation of Clebsch–Gordan coefficients to calculate the direct product of transitive representations for a finite group is developed. This procedure is based on the Mackey theorem and on the canonical realization of transitive representations. It is shown that the Clebsch–Gordan decomposition is associated with a natural interpretation of an orbit of a resultant transitive representation and it is analogous to a fibre bundle with the fibration being determined by constituent transitive representations.


1984 ◽  
Vol 52 (11) ◽  
pp. 883-886 ◽  
Author(s):  
M. A. B. Bég ◽  
C. Panagiotakopoulos ◽  
A. Sirlin

Author(s):  
Maarja-Liisa Pilvik

This article describes the typical properties and functions of Estonian -mine action nominals, using dialect corpus data. The dialect data entails non-standard spoken language with a regional dimension and therefore has the potential to display more variation in terms of the behaviour of action nominals in actual language use. This will be demonstrated, inter alia, by the non-canonical realization of arguments, e.g. retaining the sentential form of the patient argument, in phrases headed by -mine action nominals. The article also discusses the problems of assigning a word class to the regularly derived and productive type of action nominals, when taking into account all the possible contexts and constructions in which they can occur.Kokkuvõte. Maarja-Liisa Pilvik: Deverbaalsed mine-teonimed eesti murrete korpuses. Artiklis kirjeldatakse eesti keele mine-teonimede tüüpilisi omadusi ja funktsioone, kasutades eesti murrete korpuse andmeid. Murdekorpus sisaldab mittestandardset kõneldud keelt, millel on ka geograafiline dimensioon, ning seetõttu on korpuse andmetel potentsiaal näidata mine-teonimede käitumises tegelikus keelekasutuses laiemat varieerumist. Seda ilmestab muuhulgas verbi argumentide mittekanooniline realiseerumine, nt patsienti väljendav lauseliige võib säilitada oma lauselise vormi nimisõnafraasides, mille peasõnaks mine-teonimi on. Artiklis puudutatakse ka probleeme, mis seonduvad regulaarselt tuletatavatele mine-teonimedele sõnaklassi määramisega, kui võtta arvesse kontekste ja konstruktsioone, milles mine-teonimed võivad esineda.Võtmesõnad: murdesüntaks; teonimed; nominalisatsioon; konstruktsioonid; eesti keel


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