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Izvestiya: Mathematics, 2012, Volume 76, Issue 4, Pages 820–839
DOI: https://doi.org/10.1070/IM2012v076n04ABEH002605 (Mi im7583) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Commutative homogeneous spaces with one-dimensional stabilizer

S. A. Shashkov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (420 kB) Citations (3)
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DOI: https://doi.org/10.1070/IM2012v076n04ABEH002605
Abstract: We find all homogeneous spaces $X=G/H$ of algebraic groups with one-dimensional stabilizer for which the action $G :T^*X$ is co-isotropic (that is, the tangent space of a generic $G$-orbit is co-isotropic).
Keywords: commutative homogeneous space, action of algebraic groups.
Received: 31.03.2011
Revised: 12.08.2011
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2012, Volume 76, Issue 4, Pages 185–206
DOI: https://doi.org/10.4213/im7583
Bibliographic databases:
Document Type: Article
UDC: 512.745.2
MSC: 14L24, 14M17, 17B45, 43A85, 53C30, 53D20
Language: English
Original paper language: Russian
Citation: S. A. Shashkov, “Commutative homogeneous spaces with one-dimensional stabilizer”, Izv. RAN. Ser. Mat., 76:4 (2012), 185–206; Izv. Math., 76:4 (2012), 820–839
Citation in format AMSBIB
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    References:65
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