Opérateurs différentiels de Shimura et espaces préhomogènes. (Shimura differential operators and prehomogeneous spaces)

DOI10.1007/BF01388712zbMath0638.10024MaRDI QIDQ1099208

Hubert Rubenthaler, Gérard Schiffmann

Publication date: 1987

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143516

zbMATH Keywords

prehomogeneous vector spacesdifferential operatorsfunctional equation of vector-valued zeta-distributionslocal zeta distributions

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Discrete subgroups of Lie groups (22E40) Graded Lie (super)algebras (17B70) Theta series; Weil representation; theta correspondences (11F27) Zeta functions and related questions in algebraic geometry (e.g., Birch-Swinnerton-Dyer conjecture) (14G10)

Related Items

Differential operators, exact pullback formulas of Eisenstein series, and Laplace transforms, Z-graduations de type parabolique et polynomes harmoniques, Generalized principal series representations and tube domains, Fonction zêta associée à la série principale sphérique de certains espaces symétriques, Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians, The concomitants of a prehomogeneous vector space., Prehomogeneous vector spaces and field extensions, Non-parabolic prehomogeneous vector spaces and exceptional Lie algebras, Quantum \(b\)-functions of prehomogeneous vector spaces of commutative parabolic type, MULTIPLICITY ONE PROPERTY AND THE DECOMPOSITION OF b-FUNCTIONS, The Capelli identity, the double commutant theorem, and multiplicity-free actions

Cites Work

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• On Dirichlet series whose coefficients are class numbers of integral binary cubic forms