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

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Abstract

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. Möbius transformation has been taken as the corresponding action. This action is defined on the homogeneous spaces of various dimensions generated by the subgroups.

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal, 721 302, India

    Debapriya Biswas & Sandipan Dutta

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  1. Debapriya Biswas
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  2. Sandipan Dutta
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Correspondence to Debapriya Biswas.

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Biswas, D., Dutta, S. Möbius Action of SL(2;\({\mathbb {R}})\) on Different Homogeneous Spaces. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 92, 23–29 (2022). https://doi.org/10.1007/s40010-020-00673-1

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  • DOI: https://doi.org/10.1007/s40010-020-00673-1

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