Remarks on classical invariant theory

Howe, Roger

doi:10.1090/S0002-9947-1989-0986027-X

Remarks on classical invariant theory
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Trans. Amer. Math. Soc. 313 (1989), 539-570 Request permission

Erratum: Trans. Amer. Math. Soc. 318 (1990), 823.

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.

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Sur certains groupes d’opérateurs unitaires

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