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The Kempf–Ness Theorem and invariant theory for real reductive representations

  • Special Section: An Homage to Manfredo P. do Carmo
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Abstract

This paper does not contain any new result. We give new proofs of the Kempf–Ness Theorem and Hilbert–Mumford criterion for real reductive representations avoiding any algebraic results.

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  1. Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parma, Italy

    Leonardo Biliotti

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  1. Leonardo Biliotti
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Correspondence to Leonardo Biliotti.

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The author was partially supported by PRIN 2015 “Varietà reali e complesse: geometria, topologia e analisi armonica” and GNSAGA INdAM.

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Biliotti, L. The Kempf–Ness Theorem and invariant theory for real reductive representations. São Paulo J. Math. Sci. 15, 54–74 (2021). https://doi.org/10.1007/s40863-019-00151-6

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