Proper actions of \(\mathrm{SL}(2,\mathbb R)\) on semisimple symmetric spaces

DOI10.3792/pjaa.87.35zbMath1221.22020OpenAlexW1997139801MaRDI QIDQ2276091

Takayuki Okuda

Publication date: 16 August 2011

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.87.35

zbMATH Keywords

symmetric spacesurface groupproper actionnilpotent orbitSatake diagramweighted Dynkin diagram

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Differential geometry of symmetric spaces (53C35) Discontinuous groups of transformations (57S30)

Related Items (1)

Minimal representations via Bessel operators

Cites Work

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• Remarks on real nilpotent orbits of a symmetric pair
• On discontinuous groups acting on homogeneous spaces with non-compact isotropy subgroups
• Relativistic space forms
• Proper action on a homogeneous space of reductive type
• Classification of Z-graded real semisimple Lie algebras
• A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type
• Compact Clifford-Klein forms of homogeneous spaces of \(SO(2,n)\)
• Introduction to actions of discrete groups on pseudo-Riemannian homogeneous manifolds
• On the non-existence of cocompact lattices for \(SL(n)/SL(m)\)
• Proper actions of \(\mathrm{SL}(2,\mathbb C)\) on irreducible complex symmetric spaces
• Compact Clifford-Klein forms of symmetric spaces -- revisited
• Proper actions on reductive homogeneous spaces
• Les espaces symétriques noncompacts
• The Principal Three-Dimensional Subgroup and the Betti Numbers of a Complex Simple Lie Group
• Proper actions on corank-one reductive homogeneous spaces
• Classes of unipotent elements in simple algebraic groups. I
• Classes of unipotent elements in simple algebraic groups. II
• Discrete Groups and Non-Riemannian Homogeneous Spaces
• Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients

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