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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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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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