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Part of the book series: Progress in Mathematics ((PM,volume 105))

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Abstract

Let L be a group, V a finite dimensional complex vector space and φ : LGL(V) a representation. Let us denote by S’(V) the ring of all polynomial functions on V; clearly L acts on S’(V). The main problem of the classical invariant theory can be phrased as follows: To find explicitly all the L-invariant polynomial functions on V.

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© 1992 Birkhäuser Boston

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Andruskiewitsch, N. (1992). On Spherical Modules. In: Tirao, J., Wallach, N.R. (eds) New Developments in Lie Theory and Their Applications. Progress in Mathematics, vol 105. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2978-0_12

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  • DOI: https://doi.org/10.1007/978-1-4612-2978-0_12

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-7743-9

  • Online ISBN: 978-1-4612-2978-0

  • eBook Packages: Springer Book Archive

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