Möbius Action of SL(2;R) on Different Homogeneous Spaces

Möbius Action of SL(2;R) on Different Homogeneous Spaces

In this paper, we have considered all the possible continuous subgroups of the Lie group S L ( 2 ; R ) (upto conjugacy) from dimension zero to three. For each of the classification, we have defined group action on the same line as Kisil. Möbius transformation has been taken as the corresponding acti...

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Veröffentlicht in:Proceedings of the National Academy of Sciences, India, Section A, physical sciences India, Section A, physical sciences, 2022-03, Vol.92 (1), p.23-29
Hauptverfasser: Biswas, Debapriya, Dutta, Sandipan
Format: Artikel
Sprache:eng
Schlagworte:
Applied and Technical Physics
Atomic
Geometric transformation
Lie groups
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Research Article
Subgroups
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Zusammenfassung:In this paper, we have considered all the possible continuous subgroups of the Lie group S L ( 2 ; R ) (upto conjugacy) from dimension zero to three. For each of the classification, we have defined group action on the same line as Kisil. Möbius transformation has been taken as the corresponding action. This action is defined on the homogeneous spaces of various dimensions generated by the subgroups.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-020-00673-1