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Classical Invariant Theory

Chapter
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Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 301)

Abstract

In the comparison of the homology of the Lie algebra of matrices with cyclic homology one of the key points is the following result which pertains to invariant theory: there is an isomorphism
$$ {(gl{\left( k \right)^{ \otimes n}})_{gl(k)}} \cong k\left[ {{S_n}} \right] $$
.

Keywords

Invariant Theory Young Diagram Fundamental Theorem Young Tableau Symplectic Group 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Bibliographical Comments on Chapter 9

  1. Weyl, H., The classical groups, Princeton University Press, 1946.Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  1. 1.Institut de Recherche Mathématique AvancéeCentre National de la Recherche ScientifiqueStrasbourgFrance

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