Rings of invariant differential operators on homogeneous cones and Capelli-type identities

DOI10.1007/978-3-030-78346-4_12zbMath1485.16021OpenAlexW3208028324MaRDI QIDQ2072619

Hideto Nakashima

Publication date: 26 January 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-78346-4_12

zbMATH Keywords

invariant differential operatorsbasic relative invariantshomogeneous conesCapelli-type identities

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Harmonic analysis on homogeneous spaces (43A85) Nilpotent and solvable Lie groups (22E25) Rings of differential operators (associative algebraic aspects) (16S32) Other nonassociative rings and algebras (17D99)

Cites Work

• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Basic relative invariants of homogeneous cones and their Laplace transforms
• Differential Operators on a Semisimple Lie Algebra
• Algebraically independent generators of invariant differential operators on a symmetric cone.
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