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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 3, Pages 1–15
DOI: https://doi.org/10.4213/faa3080 (Mi faa3080) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer

R. S. Avdeev, N. E. Gorfinkel

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (227 kB) Citations (6)
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DOI: https://doi.org/10.4213/faa3080
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 $G/H$.
Keywords: algebraic group, homogeneous space, spherical subgroup, representation, semigroup.
Received: 17.12.2010
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 3, Pages 161–172
DOI: https://doi.org/10.1007/s10688-012-0023-3
Bibliographic databases:
Document Type: Article
UDC: 512.745+517.986.6
Language: Russian
Citation: R. S. Avdeev, N. E. Gorfinkel, “Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer”, Funktsional. Anal. i Prilozhen., 46:3 (2012), 1–15; Funct. Anal. Appl., 46:3 (2012), 161–172
Citation in format AMSBIB
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