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Matematicheskie Zametki, 2011, Volume 90, Issue 5, Pages 703–711
DOI: https://doi.org/10.4213/mzm8826 (Mi mzm8826) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Harmonic Analysis on a Class of Spherical Homogeneous Spaces

N. E. Gorfinkel

M. V. Lomonosov Moscow State University
Full-text PDF (480 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm8826
Abstract: The spectrum of representations of a semisimple algebraic group in spaces of sections of homogeneous linear bundles on a certain class of spherical homogeneous spaces is studied; the algebra of invariant functions on the cotangent bundles of spaces from this class and invariant differential operators are described.
Keywords: semisimple complex algebraic group, irreducible representation, homogenous space, homogeneous linear bundle, spherical homogeneous space, cotangent bundle, invariant differential operator, Borel subgroup, universal enveloping algebra.
Received: 27.05.2010
Revised: 01.12.2010
English version:
Mathematical Notes, 2011, Volume 90, Issue 5, Pages 678–685
DOI: https://doi.org/10.1134/S000143461111006X
Bibliographic databases:
Document Type: Article
UDC: 512.745+512.816.4
Language: Russian
Citation: N. E. Gorfinkel, “Harmonic Analysis on a Class of Spherical Homogeneous Spaces”, Mat. Zametki, 90:5 (2011), 703–711; Math. Notes, 90:5 (2011), 678–685
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm8826
  • https://doi.org/10.4213/mzm8826
  • https://www.mathnet.ru/eng/mzm/v90/i5/p703
    • This publication is cited in the following 2 articles:
    1. Timashev D.A., “on Quotients of Affine Spherical Varieties By Certain Unipotent Subgroups”, Int. Math. Res. Notices, 2015, no. 10, 2865–2886  crossref  mathscinet  zmath  isi  elib  scopus
    2. R. S. Avdeev, N. E. Gorfinkel, “Harmonic Analysis on Spherical Homogeneous Spaces with Solvable Stabilizer”, Funct. Anal. Appl., 46:3 (2012), 161–172  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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