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arXiv:1106.1070 [math.RT]AbstractReferencesReviewsResources

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Roman Avdeev, Natalia Gorfinkel

Published 2011-06-06, updated 2012-09-07Version 2

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 the representations of G on spaces of regular sections of homogeneous line bundles over G/H.

Comments: v2: 14 pages, minor corrections
Journal: Functional Analysis and Its Applications, vol. 46 (2012), no. 3, 161-172
Categories: math.RT, math.AG
Subjects: 20G05, 22E46, 43A85, 14M27, 14M17
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