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Digitale Medien

Gelfand pairs attached to representations of compact Lie groups (2000)

Lauret, J.

Springer

Transformation groups 5 (2000), S. 307-324

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ISSN: 1531-586X

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Abstract For each compact Lie algebra g and each real representationV of g we construct a two-step nilpotent Lie groupN(g, V), endowed with a natural left-invariant riemannian metric. The main goal of this paper is to show that this construction produces many new Gelfand pairs associated with nilpotent Lie groups. Indeed, we will give a full classification of the manifoldsN(g, V) which are commutative spaces, using a characterization in terms of multiplicity-free actions.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01234795

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