Geodesic
Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer
Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 1-15

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For all spherical homogeneous spaces $G/H$, where $G$ is a simply connected semisimple algebraic group and $H$ a connected solvable subgroup of $G$, we compute the spectra of representations of $G$ on spaces of regular sections of homogeneous line bundles over $G/H$.
Mots-clés : algebraic group
Keywords: homogeneous space, spherical subgroup, representation, semigroup. 
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     author = {R. S. Avdeev and N. E. Gorfinkel},
     title = {Harmonic {Analysis} on {Spherical} {Homogeneous} {Spaces} with {Solvable} {Stabilizer}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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R. S. Avdeev; N. E. Gorfinkel. Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer. Funkcionalʹnyj analiz i ego priloženiâ, Tome 46 (2012) no. 3, pp. 1-15. http://geodesic.mathdoc.fr/item/FAA_2012_46_3_a0/