Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Details Harmonic analysis on spherical homogeneous spaces with solvable stabilizer Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

2011-06-06

arxiv.org/abs/1106.1070v1

Mathematics

Representation Theory

14 pages

Scientific paper

For all spherical homogeneous spaces G/H, where G is a simply connected
semisimple algebraic group and H a connected solvable subgroup of it, we
compute the spectra of the representations of G on spaces of regular sections
of homogeneous line bundles over G/H.

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