Invariant orderings in simple Lie groups: Solution of a problem of Eh. B. Vinberg

DOI10.1007/BF01077863zbMath0576.32040WikidataQ115394308 ScholiaQ115394308MaRDI QIDQ1065214

Grigori Olshanski

Publication date: 1983

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

semi-simple Lie groupclosed convex coneproblem of Eh. BVinberg

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Complex Lie groups, group actions on complex spaces (32M05)

Related Items (9)

Invariant cones in Lie algebras ⋮ Invariant Lorentzian orders on simply connected Lie groups ⋮ Geometry of contact transformations and domains: orderability versus squeezing ⋮ Globality in semisimple Lie groups ⋮ Conal orders on homogeneous spaces ⋮ Nonreversibility of subsemigroups of semi-simple Lie groups ⋮ Controllability on real reductive Lie groups ⋮ Grigori Iosifovich Olshanski ⋮ Parametrization of causal actions of universal covering groups and global hyperbolicity

Cites Work

• Invariant convex cones and causality in semisimple Lie algebras and groups
• The Poisson integral for generalized half-planes and bounded symmetric domains

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