Z-graduations de type parabolique et polynomes harmoniques

DOI10.1017/S0027763000006887zbMath0935.20033MaRDI QIDQ4267443

Abdel Latif Mortajine

Publication date: 4 May 2000

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

prehomogeneous vector spacesharmonic representationspluriharmonic representations

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Group actions on varieties or schemes (quotients) (14L30) Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Almost homogeneous manifolds and spaces (32M12)

Related Items (1)

Orthogonal roots, quadratic forms and orbits of simple graded Lie algebras

Cites Work

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• On differential operators attached to certain representations of classical groups
• Opérateurs différentiels de Shimura et espaces préhomogènes. (Shimura differential operators and prehomogeneous spaces)
• Best linear and nonlinear approximations for smooth functions
• On the Segal-Shale-Weil representations and harmonic polynomials
• The Capelli identity, tube domains, and the generalized Laplace transform
• Zeta functions in several variables associated with prehomogeneous vector spaces. I: Functional equations

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