Characterizations of symmetric cones by means of the basic relative invariants of homogeneous cones

DOI10.1515/APAM-2015-0012zbMath1338.32021OpenAlexW2565949447MaRDI QIDQ278070

Hideto Nakashima

Publication date: 2 May 2016

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/apam-2015-0012

zbMATH Keywords

symmetric conesbasic relative invariantshomogeneous conestube domains

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Nilpotent and solvable Lie groups (22E25) Prehomogeneous vector spaces (11S90) Lie-admissible algebras (17D25)

Related Items (3)

Functional equations of zeta functions associated with homogeneous cones ⋮ A SHORTER PROOF OF A CHARACTERIZATION OF SYMMETRIC CONES BY THE DEGREES OF THE BASIC RELATIVE INVARIANTS ⋮ Basic relative invariants of homogeneous cones and their Laplace transforms

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