Functional Analysis and Its Applications

, Volume 46, Issue 3, pp 161–172

Harmonic analysis on spherical homogeneous spaces with solvable stabilizer

Article

DOI: 10.1007/s10688-012-0023-3

Cite this article as:
Avdeev, R.S. & Gorfinkel, N.E. Funct Anal Its Appl (2012) 46: 161. doi:10.1007/s10688-012-0023-3

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.

Key words

algebraic grouphomogeneous spacespherical subgrouprepresentationsemigroup

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  1. 1.Department of Mechanics and MathematicsMoscow State UniversityMoscowRussia