Homogeneity rank of real representations of compact Lie groups

Abstract

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

arXiv commentLatex, 13 pages

References in corpus (1)

• Representations of compact Lie groups and the osculating spaces of their orbits

Cited by in corpus (6)

• Sp(3) structures on 14-dimensional manifolds
• Introduction to Lie groups, isometric and adjoint actions and some generalizations
• Actions of vanishing homogeneity rank on quaternionic-Kaehler projective spaces
• Representations with $Sp(1{)}^k$-reductions and quaternion-Kähler symmetric spaces
• Actions on positively curved manifolds and boundary in the orbit space
• Highly curved orbit spaces