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Classical Invariant Theory

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Cyclic Homology

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

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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

$$ {(gl{\left( k \right)^{ \otimes n}})_{gl(k)}} \cong k\left[ {{S_n}} \right] $$

.

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Bibliographical Comments on Chapter 9

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© 1992 Springer-Verlag Berlin Heidelberg

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Loday, JL. (1992). Classical Invariant Theory. In: Cyclic Homology. Grundlehren der mathematischen Wissenschaften, vol 301. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21739-9_9

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  • DOI: https://doi.org/10.1007/978-3-662-21739-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-21741-2

  • Online ISBN: 978-3-662-21739-9

  • eBook Packages: Springer Book Archive

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