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Remarks on classical invariant theory


Author: Roger Howe
Journal: Trans. Amer. Math. Soc. 313 (1989), 539-570
MSC: Primary 22E45; Secondary 11E57, 15A72, 20G05, 22E47
Erratum: Trans. Amer. Math. Soc. 318 (1990), null.
MathSciNet review: 986027
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1989-0986027-X
Keywords: Invariant theory, Weyl algebra, spherical harmonics
Article copyright: © Copyright 1989 American Mathematical Society