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group_theory:notions:group_deformations_and_contractions

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group_theory:notions:group_deformations_and_contractions [2016/12/30 08:16]
jakobadmin [Further Examples]
group_theory:notions:group_deformations_and_contractions [2017/12/06 09:33] (current)
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   * All possible deformations of the Galilean algebra were derived in [[http://​www.maths.ed.ac.uk/​~jmf/​Research/​PVBLICATIONS/​deform.pdf|DEFORMATIONS OF THE GALILEAN ALGEBRA by    * All possible deformations of the Galilean algebra were derived in [[http://​www.maths.ed.ac.uk/​~jmf/​Research/​PVBLICATIONS/​deform.pdf|DEFORMATIONS OF THE GALILEAN ALGEBRA by 
 Jose M. Figueroa-O’Farrill]] Jose M. Figueroa-O’Farrill]]
-  * Deformation of general relativity, as described in chapter 3 of https://​arxiv.org/​pdf/​1103.0731v1.pdf:​ "​Instead of viewing Minkowski space as R d−1,1 , we will view it as a homogeneous space E(d − 1, 1)/SO(d − 1, 1). A description in terms of Cartan geometry will allow us to deform general relativity by replacing E(d − 1, 1) by its deformation,​ the de Sitter group SO(d, 1)."+  * Deformation of general relativity, as described in chapter 3 of https://​arxiv.org/​pdf/​1103.0731v1.pdf:​ "//Instead of viewing Minkowski space as R d−1,1 , we will view it as a homogeneous space E(d − 1, 1)/SO(d − 1, 1). A description in terms of Cartan geometry will allow us to deform general relativity by replacing E(d − 1, 1) by its deformation,​ the de Sitter group SO(d, 1).//"
  
  
  
 c.f. https://​en.wikipedia.org/​wiki/​Group_contraction c.f. https://​en.wikipedia.org/​wiki/​Group_contraction
group_theory/notions/group_deformations_and_contractions.txt · Last modified: 2017/12/06 09:33 (external edit)