On the automorphism group of the generalized conformal structure of a symmetric \(R\)-space

DOI10.1016/S0926-2245(97)00015-6zbMath0914.53029OpenAlexW1974176780WikidataQ115337544 ScholiaQ115337544MaRDI QIDQ1385069

Soji Kaneyuki, Simon G. Gindikin

Publication date: 15 June 1999

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0926-2245(97)00015-6

zbMATH Keywords

conformal automorphismssymmetric \(R\)-spacegeneralized conformal structures

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Differential geometry of symmetric spaces (53C35) Simple, semisimple Jordan algebras (17C20)

Related Items (5)

Antipodal sets of pseudo-Riemannian symmetric \(R\)-spaces ⋮ Inner ideals and intrinsic subspaces of linear pair geometries ⋮ Circles in self dual symmetric \(R\)-spaces ⋮ Minimal representations via Bessel operators ⋮ Isothermic submanifolds of symmetric R-spaces

Cites Work

• Basic transformations of symmetric R-spaces
• On affine symmetric spaces and the automorphism groups of product manifolds
• A decomposition theorem for simple Lie groups associated with parahermitian symmetric spaces
• On compact generalized Jordan triple systems of the second kind
• On conjugate loci and cut loci of compact symmetric spaces. II
• Pseudo-Hermitian symmetric spaces and Siegel domains over nondegenerate cones
• On the equivalence problems associated with simple graded Lie algebras
• The Sylvester's law of inertia in simple graded Lie algebras
• Siegel domain realization of pseudo-Hermitian symmetric manifolds
• On the equivalence problems associated with a certain class of homogeneous spaces
• Graded Lie algebras and generalized Jordan triple systems
• Un théorème de Liouville pour les algèbres de Jordan
• Existence and Conjugacy of Cartan Subalgebras of Jordan Algebras
• Transformation Groups on Compact Symmetric Spaces
• Jordan triple systems, 𝑅-spaces, and bounded symmetric domains
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