Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups
DOI10.1090/mcom/3493zbMath1432.57065arXiv1901.04341OpenAlexW2988654225WikidataQ115290994 ScholiaQ115290994MaRDI QIDQ5216736
Maciej Bocheński, Piotr Jastrzȩbski, Aleksy Tralle
Publication date: 18 February 2020
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.04341
exceptional simple Lie algebrasproper actionsKobayashi's conjectureClifford-Klein formsstandard Clifford-Klein forms
Homogeneous spaces (22F30) Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Simple, semisimple, reductive (super)algebras (17B20) Computational methods for problems pertaining to topological groups (22-08)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification of semisimple symmetric spaces with proper \(\mathrm{SL}(2,\mathbb R)\)-actions
- Deformation of proper actions on reductive homogeneous spaces
- Stable spectrum for pseudo-Riemannian locally symmetric spaces
- Constructing semisimple subalgebras of semisimple Lie algebras
- A restriction on proper group actions on homogeneous spaces of reductive type
- Relativistic space forms
- Proper action on a homogeneous space of reductive type
- Proper actions and pseudo-Riemannian space forms
- A necessary condition for the existence of compact Clifford-Klein forms of homogeneous spaces of reductive type
- Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
- Deformation of compact Clifford-Klein forms of indefinite-Riemannian homogeneous manifolds
- Lectures on real semisimple Lie algebras and their representations
- Compact Clifford-Klein forms of homogeneous spaces of \(SO(2,n)\)
- On homogeneous model spaces of compact manifolds
- Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a computational approach
- A topological necessary condition for the existence of compact Clifford-Klein forms
- Classification of irreducible symmetric spaces which admit standard compact Clifford-Klein forms
- Computing with real Lie algebras: real forms, Cartan decompositions, and Cartan subalgebras
- Compact Clifford-Klein forms of symmetric spaces -- revisited
- Proper SL(2, ℝ)-actions on homogeneous spaces
- On solvable compact Clifford-Klein forms
- Constructing Semisimple Subalgebras of Real Semisimple Lie Algebras
- Clifford–Klein Forms and a-Hyperbolic Rank
- Discrete Groups and Non-Riemannian Homogeneous Spaces
- Existence of compact quotients of homogeneous spaces, measurably proper actions, and decay of matrix coefficients
- The semisimple subalgebras of exceptional Lie algebras
- Semisimple subalgebras in simple Lie algebras and a computational approach to the compact Clifford–Klein forms problem
This page was built for publication: Nonexistence of standard compact Clifford–Klein forms of homogeneous spaces of exceptional Lie groups