Proper SL(2, ℝ)-actions on homogeneous spaces

DOI10.1142/S0129167X16501068zbMath1358.57035arXiv1405.4167OpenAlexW3122611740MaRDI QIDQ2955400

Takayuki Okuda, Piotr Jastrzȩbski, Maciej Bocheński, Aleksy Tralle

Publication date: 25 January 2017

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4167

zbMATH Keywords

homogeneous spacesLie groupsproper actions

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30)

Related Items (3)

Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a computational approach ⋮ On solvable compact Clifford-Klein forms ⋮ Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups

Cites Work

• Classification of semisimple symmetric spaces with proper \(\mathrm{SL}(2,\mathbb R)\)-actions
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Proper actions of \(\mathrm{SL}(2,\mathbb C)\) on irreducible complex symmetric spaces
• Proper actions on corank-one reductive homogeneous spaces
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