Möbius Action of SL(2;$${\mathbb {R}})$$ on Different Homogeneous Spaces

Autor:	Debapriya Biswas, Sandipan Dutta
Rok vydání:	2020
Předmět:	Pure mathematics Group (mathematics) Dimension (graph theory) Zero (complex analysis) General Physics and Astronomy Lie group Action (physics) Mathematics::Group Theory symbols.namesake Conjugacy class Line (geometry) symbols Möbius transformation Mathematics
Zdroj:	Proceedings of the National Academy of Sciences, India Section A: Physical Sciences. 92:23-29
ISSN:	2250-1762 0369-8203
DOI:	10.1007/s40010-020-00673-1
Popis:	In this paper, we have considered all the possible continuous subgroups of the Lie group $$SL(2;{\mathbb {R}})$$ (upto conjugacy) from dimension zero to three. For each of the classification, we have defined group action on the same line as Kisil. Mobius transformation has been taken as the corresponding action. This action is defined on the homogeneous spaces of various dimensions generated by the subgroups.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::d958c48be2835c38881f9916b6a5e866 https://doi.org/10.1007/s40010-020-00673-1 Zobrazit plný text záznamu Full text from SpringerLink