The compression semigroup of the dual Vinberg cone

DOI10.1007/978-3-030-78346-4_8zbMath1498.20142arXiv2012.12131OpenAlexW3214713301MaRDI QIDQ2072613

Hideyuki Ishi, Khalid Koufany

Publication date: 26 January 2022

Full work available at URL: https://arxiv.org/abs/2012.12131

zbMATH Keywords

compression semigroupdual Vinberg conetriple and Ol'shanskiĭ polar decompositions

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Complex Lie groups, group actions on complex spaces (32M05) General properties and structure of real Lie groups (22E15)

Related Items (1)

Continuing the classification of homogeneous Kobayashi-hyperbolic manifolds with high-dimensional automorphism group

Cites Work

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• Holomorphic automorphisms of some tube domains over non-selfadjoint cones
• Invariant cones in Lie algebras, Lie semigroups, and the holomorphic discrete series
• On the complex and convex geometry of Ol'shanskii semigroups
• Lie semigroups and their applications
• Lie semigroup associated to the symmetric cone
• Contractions of angles in symmetric cones.
• Finsler metrics on symmetric cones
• Application of Hilbert's projective metric on symmetric cones
• Kalman Filtering with Random Coefficients and Contractions
• Polar and Ol'shanskii decompositions.

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