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Creators/Authors contains: "Kobayashi, Toshiyuki"

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  1. ; (, Journal of the Institute of Mathematics of Jussieu)
    Let 𝐺 be a complex semisimple Lie group and 𝘏 a complex closed connected subgroup. Let g and h be their Lie algebras. We prove that the regular representation of 𝐺 in 𝐿²(𝐺/𝘏) is tempered if and only if the orthogonal of h in g contains regular elements by showing simultaneously the equivalence to other striking conditions, such as h has a solvable limit algebra. 
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