English

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Representation Theory 2012-09-19 v2 Algebraic Geometry

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.

Keywords

Cite

@article{arxiv.1106.1070,
  title  = {Harmonic analysis on spherical homogeneous spaces with solvable stabilizer},
  author = {Roman Avdeev and Natalia Gorfinkel},
  journal= {arXiv preprint arXiv:1106.1070},
  year   = {2012}
}

Comments

v2: 14 pages, minor corrections

R2 v1 2026-06-21T18:18:20.432Z