Algebraically Independent Generators for the Algebra of Invariant Differential Operators on $\mathrm{SL}_n(\mathbb R)/\mathrm{SO}_n(\mathbb R)$

zbMath1476.53081arXiv2008.07479MaRDI QIDQ5001451

Dominik Brennecken, Lorenzo Ciardo, Joachim Hilgert

Publication date: 19 July 2021

Full work available at URL: https://arxiv.org/abs/2008.07479

zbMATH Keywords

symmetric coneinvariant differential operatorRiemannian symmetric spaceMaass-Selberg operator

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35) Rings of differential operators (associative algebraic aspects) (16S32)

Related Items (1)

Absence of principal eigenvalues for higher rank locally symmetric spaces

Cites Work

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• Some remarks on the center of the universal enveloping algebra of a classical simple Lie algebra
• \(\text{Pos}_n(\mathbb R)\) and Eisenstein series
• Algebraically independent generators of invariant differential operators on a symmetric cone.
• Kommutative Algebra und Algebraische Geometrie

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