Abstract
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.
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Translated from Funktsional’nyi Analiz i Ego Prilozheniya, Vol. 46, No. 3, pp. 1–15, 2012
Original Russian Text Copyright © by R. S. Avdeev and N. E. Gorfinkel
This research was partially supported by RFBR grant no. 09-01-00648-a.
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Avdeev, R.S., Gorfinkel, N.E. Harmonic analysis on spherical homogeneous spaces with solvable stabilizer. Funct Anal Its Appl 46, 161–172 (2012). https://doi.org/10.1007/s10688-012-0023-3
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DOI: https://doi.org/10.1007/s10688-012-0023-3