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  • 2000-2004  (1)
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  • 2000-2004  (1)
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    Electronic Resource
    Electronic Resource
    Springer
    Transformation groups 5 (2000), S. 307-324 
    ISSN: 1531-586X
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: 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.
    Type of Medium: Electronic Resource
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