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Teoreticheskaya i Matematicheskaya Fizika, 2001, Volume 126, Number 3, Pages 393–408
DOI: https://doi.org/10.4213/tmf437 (Mi tmf437) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Identities and Invariant Operators on Homogeneous Spaces

I. V. Shirokov

Omsk State University
Full-text PDF (270 kB) Citations (13)
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DOI: https://doi.org/10.4213/tmf437
Abstract: We study identities (functional relations between the generators of the transformation group) and also algebras of invariant operators on homogeneous spaces using the method of orbits of the coadjoint representation (coadjoint orbits). This method permits establishing the relation between these two objects and elaborating an algorithm for their construction. A classification of homogeneous spaces is introduced based on the coadjoint orbit method.
Received: 24.08.2000
English version:
Theoretical and Mathematical Physics, 2001, Volume 126, Issue 3, Pages 326–338
DOI: https://doi.org/10.1023/A:1010315901037
Bibliographic databases:
Language: Russian
Citation: I. V. Shirokov, “Identities and Invariant Operators on Homogeneous Spaces”, TMF, 126:3 (2001), 393–408; Theoret. and Math. Phys., 126:3 (2001), 326–338
Citation in format AMSBIB
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:75
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