Möbius action of \(\mathrm{SL}(2; \mathbb{R})\) on different homogeneous spaces

DOI10.1007/s40010-020-00673-1zbMath1490.22014OpenAlexW3010321293MaRDI QIDQ2138538

Debapriya Biswas, Sandipan Dutta

Publication date: 12 May 2022

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-020-00673-1

zbMATH Keywords

Lie grouphomogeneous spacegroup action\mathbb{R})\)one-parameter subgroupgroup \(\mathrm{SL}(2

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homogeneous spaces (22F30) Finite transformation groups (57S17) Group actions on affine varieties (14R20) Topological geometries on manifolds (51H20)

Related Items (3)

Geometry associated with the $\text{SL}(3,\mathbb{R})$ action on homogeneous space using the Erlangen program ⋮ Invariant projective properties under the action of the Lie group \(\mathrm{SL}(3; \mathbb{R})\) on \(\mathbb{RP}^2\) ⋮ The Geometry of the Projective Action of $\text{SL}(3,\mathbb{R})$ from the Erlangen Perspective

Uses Software

• GiNaC-cycle

Cites Work

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• Erlangen program at large-1: geometry of invariants
• On some types of topological groups
• Geometry of Möbius Transformations
• Lie Groups, Lie Algebras, and Representations
• Poincaré extension of Möbius transformations
• The Four Pillars of Geometry

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