The Capelli identity for Grassmann manifolds

DOI10.1090/S1088-4165-2013-00434-XzbMath1271.22011OpenAlexW2050994126MaRDI QIDQ2836487

Siddhartha Sahi

Publication date: 3 July 2013

Published in: Representation Theory of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1088-4165-2013-00434-x

zbMATH Keywords

GrassmannianCapelli identityinvariant differential operator

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Harmonic analysis and spherical functions (43A90)

Related Items (1)

Quantum immanants, double Young–Capelli bitableaux and Schur shifted symmetric functions

Cites Work

• Capelli identities for reductive dual pairs
• The Capelli identity, the double commutant theorem, and multiplicity-free actions
• Capelli identities for classical Lie algebras
• Jordan algebras and Capelli identities
• The Capelli identity, tube domains, and the generalized Laplace transform
• Quantum immanants and higher Capelli identities
• Noncommutative determinants, Cauchy-Binet formulae, and Capelli-type identities. I: Generalizations of the Capelli and Turnbull identities
• On a problem of Klee concerning convex polytopes
• On the heat equation and the index theorem
• Remarks on Classical Invariant Theory
• Spherical harmonics on Grassmannians
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