Journal of Lie theory · 2001 · 19 citations · 6 references
Natural SciencesMathematicsDifferential EquationsGroup TheoryInvariant TheoryLie AlgebrasLie GroupsGeometric Invariant TheoryInvariant Theory Of Lie GroupsInvariantsLie Algebra TheoryLie Group ActionsLie Group AutomorphismsRiesz OperatorsSolvable Lie Algebras
Abstract. In this paper, we determine the basic relative invariants on the ambient vector space of a homogeneous cone under the action of the solvable linear Lie group acting on simply transitively. The results are applied to a study of the Riesz distributions on and to an algebraic description of the closure of
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