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Journal of Lie Theory 31 (2021), No. 2, 459--468
Copyright Heldermann Verlag 2021



Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)

Dominik Brennecken
Institut für Mathematik, Universität Paderborn, Germany
bdominik@math.upb.de

Lorenzo Ciardo
Department of Mathematics, University of Oslo, Norway
lorenzci@math.uio.no

Joachim Hilgert
Institut für Mathematik, Universität Paderborn, Germany
hilgert@upb.de



We provide an explicit set of algebraically independent generators for the algebra of invariant differential operators on the Riemannian symmetric space associated with SLn(R).

Keywords: Invariant differerential operators, Riemannian symmetric spaces, Maass-Selberg operators, symmetric cones.

MSC: 53C35, 43A85, 16S32.

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