Jordan algebras and Capelli identities

DOI10.1007/BF01232451zbMath0999.17043OpenAlexW2000490553MaRDI QIDQ1319247

Siddhartha Sahi, Bertram Kostant

Publication date: 2 December 2002

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

Full work available at URL: https://eudml.org/doc/144118

zbMATH Keywords

symmetric spacesinvariant differential operatorsgeneralized Capelli identitysemisimple Jordan algebra

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10)

Related Items

On a q-analog of a Sahi result, Zeta distributions and boundary values of Poisson transforms, The Capelli problem for \(\mathfrak{gl}(m|n)\) and the spectrum of invariant differential operators, Jordan algebras and generalized principal series representations, Generalized principal series representations and tube domains, Quantum immanants and higher Capelli identities, Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions, Invariant functionals on Speh representations, Explicit Hilbert spaces for certain unipotent representations. III, Capelli-Deruyts bitableaux and the classical Capelli generators of the center of the enveloping algebra U( gl ( n )), Berezin transform on real bounded symmetric domains, Generalized principal series representations of $SL(1+n,\mathbb {C})$, A Generalization of the Capelli Identity, Schur 𝑄-functions and the Capelli eigenvalue problem for the Lie superalgebra \ger𝑞(𝑛), Un théorème de Liouville pour les algèbres de Jordan, Explicit Newton's formula for \({\mathfrak gl}_n\), The Capelli identity for Grassmann manifolds, CLASSIFICATION OF SIMPLE REAL JORDAN ALGEBRAS, Covariant quantization: spectral analysis versus deformation theory, Young–Capelli bitableaux, Capelli immanants in U(gl(n)) and the Okounkov quantum immanants, Capelli operators for spherical superharmonics and the Dougall-Ramanujan identity

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