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Universal induced characters and restriction rules for the classical groups

Published online by Cambridge University Press:  22 January 2016

Yasuo Teranishi
Yasuo Teranishi*
Affiliation:
Universität Mannheim, Lehrstuhl für Mathematik VI, 6800 Mannheim 1, Federal Republic of Germany and Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, Nagoya, 464, Japan
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The purpose of this paper is the study of some basic properties of universal induced characters and their applications to the representation theory of the classical groups (for the definition of a universal induced character, see § 3).

The starting point was the paper [F] by E. Formanek on matrix invariants. In his paper [F], Formanek has investigated the Hilbert series for the ring of matrix invariants from the point of view of the representation theory of the general linear group and the symmetric group. In this paper we shall study polynomial concomitants of a group from the same point of view.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 117 , March 1990 , pp. 173 - 205
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1990

References

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