Remarks on classical invariant theory-Reference-Cited by-同舟云学术

Remarks on classical invariant theory

Published:1989 Issue:2 Volume:313 Page:539-570
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Howe Roger

Abstract

A uniform formulation, applying to all classical groups simultaneously, of the First Fundamental Theory of Classical Invariant Theory is given in terms of the Weyl algebra. The formulation also allows skew-symmetric as well as symmetric variables. Examples illustrate the scope of this formulation.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1989-313-02/S0002-9947-1989-0986027-X/S0002-9947-1989-0986027-X.pdf

Reference23 articles.

1. On the heat equation and the index theorem;Atiyah, M.;Invent. Math.,1973

2. On a generalization of Kähler geometry;Chern, Shiing-shen,1957

3. Holomorphic discrete series for the real symplectic group;Gelbart, Stephen;Invent. Math.,1973

4. Bessel functions and representation theory. II. Holomorphic discrete series and metaplectic representations;Gross, Kenneth I.;J. Functional Analysis,1977

5. A duality for symmetric spaces with applications to group representations;Helgason, Sigurđur;Advances in Math.,1970

Cited by 226 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Howe duality in the toroidal setting;Journal of Algebra;2024-02

2. Manifestly covariant worldline actions from coadjoint orbits. Part I. Generalities and vectorial descriptions;Journal of High Energy Physics;2024-01-05

3. An excursion into the string spectrum;Journal of High Energy Physics;2023-12-11

4. Skew Howe duality and limit shapes of Young diagrams;Journal of the London Mathematical Society;2023-09-09

5. The Plancherel formula of Fourier integral operators: The case of Sp(1,1);International Journal of Wavelets, Multiresolution and Information Processing;2023-08-31