The Capelli identity, the double commutant theorem and multiplicity-free-actions.

Roger Howe; Toru Umeda

Mathematische Annalen (1991)

  • Volume: 290, Issue: 3, page 565-620
  • ISSN: 0025-5831; 1432-1807/e

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Howe, Roger, and Umeda, Toru. "The Capelli identity, the double commutant theorem and multiplicity-free-actions.." Mathematische Annalen 290.3 (1991): 565-620. <http://eudml.org/doc/164834>.

@article{Howe1991,
author = {Howe, Roger, Umeda, Toru},
journal = {Mathematische Annalen},
keywords = {invariant differential operator; enveloping algebra; Capelli identity; Invariant Theory; multiplicity-free actions; algebraic groups; b- functions; orbits},
number = {3},
pages = {565-620},
title = {The Capelli identity, the double commutant theorem and multiplicity-free-actions.},
url = {http://eudml.org/doc/164834},
volume = {290},
year = {1991},
}

TY - JOUR
AU - Howe, Roger
AU - Umeda, Toru
TI - The Capelli identity, the double commutant theorem and multiplicity-free-actions.
JO - Mathematische Annalen
PY - 1991
VL - 290
IS - 3
SP - 565
EP - 620
KW - invariant differential operator; enveloping algebra; Capelli identity; Invariant Theory; multiplicity-free actions; algebraic groups; b- functions; orbits
UR - http://eudml.org/doc/164834
ER -

Citations in EuDML Documents

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  1. Tetsuya Sugitani, Harmonic analysis on quantum spheres associated with representations of U q ( 𝔰𝔬 N ) and q -jacobi polynomials
  2. Masatoshi Noumi, Tôru Umeda, Masato Wakayama, Dual pairs, spherical harmonics and a Capelli identity in quantum group theory
  3. J. Klimek, W. Kraśkiewicz, J. Weyman, The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
  4. Chal Benson, Joe Jenkins, Gail Ratcliff, Tefera Worku, Spectra for Gelfand pairs associated with the Heisenberg group
  5. Yannis Y. Papageorgiou, S L 2 , the cubic and the quartic
  6. Nicole Bopp, Hubert Rubenthaler, Fonction zêta associée à la série principale sphérique de certains espaces symétriques
  7. Stavros Argyrios Papadakis, Bart Van Steirteghem, Equivariant degenerations of spherical modules for groups of type A
  8. Dmitri Panyushev, On deformation method in invariant theory

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