Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

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

v2: 14 pages, minor corrections

References in corpus (1)

• On solvable spherical subgroups of semisimple algebraic groups

Cited by in corpus (1)

• Affine spherical homogeneous spaces with good quotient by a maximal unipotent subgroup