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Journal of Lie Theory 15 (2005), No. 1, 063--077
Copyright Heldermann Verlag 2005

Homogeneity Rank of Real Representations of Compact Lie Groups

Claudio Gorodski
Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, São Paulo, SP 05508-090, Brazil

Fabio Podestà
Dip. di Matematica e Appl. per l'Architettura, Piazza Ghiberti 27, 50100 Florence, Italy

The main result of this paper is the classification of the real irreducible representations of compact Lie groups with vanishing homogeneity rank.

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