Linear groups generated by a pair of quadratic action subgroups

1985 ◽  
Vol 44 (1) ◽  
pp. 15-19
Author(s):  
B. Baumann ◽  
C. Ho
Keyword(s):  
Linear Groups ◽  
Quadratic Action

scholarly journals Accidental Gauge Symmetries of Minkowski Spacetime in Teleparallel Theories

Universe ◽  
2021 ◽  
Vol 7 (5) ◽  
pp. 143
Author(s):  
Jose Beltrán Jiménez ◽  
Tomi S. Koivisto
Keyword(s):  
General Relativity ◽  
Minkowski Spacetime ◽  
Linear Extensions ◽  
Gauge Symmetries ◽  
Linear Spectrum ◽  
Massless Spin ◽  
Non Linear ◽  
Common Framework ◽  
Local Symmetries ◽  
Quadratic Action

In this paper, we provide a general framework for the construction of the Einstein frame within non-linear extensions of the teleparallel equivalents of General Relativity. These include the metric teleparallel and the symmetric teleparallel, but also the general teleparallel theories. We write the actions in a form where we separate the Einstein–Hilbert term, the conformal mode due to the non-linear nature of the theories (which is analogous to the extra degree of freedom in f(R) theories), and the sector that manifestly shows the dynamics arising from the breaking of local symmetries. This frame is then used to study the theories around the Minkowski background, and we show how all the non-linear extensions share the same quadratic action around Minkowski. As a matter of fact, we find that the gauge symmetries that are lost by going to the non-linear generalisations of the teleparallel General Relativity equivalents arise as accidental symmetries in the linear theory around Minkowski. Remarkably, we also find that the conformal mode can be absorbed into a Weyl rescaling of the metric at this order and, consequently, it disappears from the linear spectrum so only the usual massless spin 2 perturbation propagates. These findings unify in a common framework the known fact that no additional modes propagate on Minkowski backgrounds, and we can trace it back to the existence of accidental gauge symmetries of such a background.

Soluble linear groups over Euclidean rings

2012 ◽  
Vol 53 (6) ◽  
pp. 1110-1114 ◽  
Author(s):  
V. I. Matyukhin
Keyword(s):  
Linear Groups

scholarly journals Modular Invariants of Parabolic Subgroups of General Linear Groups

2000 ◽  
Vol 232 (1) ◽  
pp. 197-208 ◽  
Author(s):  
Pham Anh Minh ◽  
Võ Thanh Tùng
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
Parabolic Subgroups ◽  
General Linear Groups ◽  
Modular Invariants

scholarly journals general linear groups

1997 ◽  
Vol 90 (3) ◽  
pp. 549-576 ◽  
Author(s):  
Avner Ash ◽  
Mark McConnell
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

Symmetric and general linear groups with supersoluble Sylow normalizers

1989 ◽  
Vol 154 (1) ◽  
pp. 359-370 ◽  
Author(s):  
Valeria Fedri ◽  
Luigi Serena
Keyword(s):  
General Linear ◽  
Linear Groups ◽  
General Linear Groups

Locally Solvable Finitary Linear Groups

1993 ◽  
Vol s2-47 (1) ◽  
pp. 31-40 ◽  
Author(s):  
Ulrich Meierfrankenfeld ◽  
Richard E. Phillips ◽  
Orazio Puglisi
Keyword(s):  
Linear Groups ◽  
Finitary Linear

The upper central factors of certain skew-linear groups

1983 ◽  
Vol 40 (1) ◽  
pp. 481-494 ◽  
Author(s):  
B. A. F. Wehrfritz
Keyword(s):  
Linear Groups ◽  
Central Factors

The Excavation of Eighteen Round Barrows near Shrewton, Wiltshire.

1984 ◽  
Vol 50 ◽  
pp. 255-318 ◽  
Author(s):  
Charles Green ◽  
Stephen Rollo-Smith ◽  
Elisabeth Crowfoot ◽  
Calvin Wells
Keyword(s):  
Water Supply ◽  
Lower Limit ◽  
Open Water ◽  
Linear Groups ◽  
Upper Limit ◽  
The Village

The excavation of eighteen round barrows was undertaken by the late Charles Green during summer seasons from 1958 to 1960, in advance of their destruction by ploughing. The excavated barrows are members of two linear groups which occupy adjacent spurs to the east of the village of Shrewton in the modern parish of that name (fig. 1). One of the barrows investigated lies in Winterbourne Stoke parish. This western part of Salisbury Plain is termed the ‘Lower Plain’ comprising those areas having their ‘upper limit… between 400 and 450 feet OD and their lower limit where they overlook the valley trenches … between 250 and 300 feet O.D.’ (Gifford 1957, 6). In such a lower valley lie the modern villages of Shrewton and Rollestone, and through it flows the river Till, the nearest modern open water supply to the barrows. This connects the area to the River Avon via the Wylye and Nadder.

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