Galois Extensions over Local Number Rings

2020 ◽  
pp. 41-65
Author(s):  
Lindsay N. Childs
Keyword(s):  
Galois Extensions ◽  
Local Number

A characterization of projective weak Galois extensions

2009 ◽  
Vol 174 (1) ◽  
pp. 161-177 ◽  
Author(s):  
J. N. Alonso Álvarez ◽  
J. M. Fernández Vilaboa ◽  
R. González Rodríguez ◽  
M. P. López
Keyword(s):  
Galois Extensions

A NOTE ON CUBIC GALOIS EXTENSIONS

2001 ◽  
Vol 29 (11) ◽  
pp. 5279-5289
Author(s):  
Antonio Paques
Keyword(s):  
Galois Extensions

scholarly journals Twistings and Hopf Galois Extensions

2000 ◽  
Vol 232 (2) ◽  
pp. 673-696
Author(s):  
Margaret Beattie ◽  
Blas Torrecillas
Keyword(s):  
Galois Extensions

scholarly journals Simultaneous Surface Resolution in Cyclic Galois Extensions

2007 ◽  
Vol 136 (02) ◽  
pp. 449-452
Author(s):  
Shreeram S. Abhyankar ◽  
Nan Gu
Keyword(s):  
Galois Extensions

scholarly journals On generalized Hopf galois extensions

2005 ◽  
Vol 202 (1-3) ◽  
pp. 168-194 ◽  
Author(s):  
Peter Schauenburg ◽  
Hans-Jürgen Schneider
Keyword(s):  
Galois Extensions

scholarly journals Deformation quantization of principal bundles

2016 ◽  
Vol 13 (08) ◽  
pp. 1630010
Author(s):  
Paolo Aschieri
Keyword(s):  
Quantum Group ◽  
Deformation Quantization ◽  
Principal Bundle ◽  
Base Space ◽  
Structure Group ◽  
Galois Extensions ◽  
Principal Bundles ◽  
Group Of Automorphisms ◽  
Drinfeld Twist

We outline how Drinfeld twist deformation techniques can be applied to the deformation quantization of principal bundles into noncommutative principal bundles and, more in general, to the deformation of Hopf–Galois extensions. First, we twist deform the structure group in a quantum group, and this leads to a deformation of the fibers of the principal bundle. Next, we twist deform a subgroup of the group of automorphisms of the principal bundle, and this leads to a noncommutative base space. Considering both deformations, we obtain noncommutative principal bundles with noncommutative fiber and base space as well.

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