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Symmetry, Integrability and Geometry: Methods and Applications, 2014, Volume 10, 008, 35 pp.
DOI: https://doi.org/10.3842/SIGMA.2014.008 (Mi sigma873) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Systems of Differential Operators and Generalized Verma Modules

Toshihisa Kubo

Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
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DOI: https://doi.org/10.3842/SIGMA.2014.008
Abstract: In this paper we close the cases that were left open in our earlier works on the study of conformally invariant systems of second-order differential operators for degenerate principal series. More precisely, for these cases, we find the special values of the systems of differential operators, and determine the standardness of the homomorphisms between the generalized Verma modules, that come from the conformally invariant systems.
Keywords: conformally invariant systems; quasi-invariant differential operators; intertwining differential operators; real flag manifolds; generalized Verma modules; standard maps.
Received: April 8, 2013; in final form January 17, 2014; Published online January 24, 2014
Bibliographic databases:
Document Type: Article
MSC: 22E46; 17B10; 22E47
Language: English
Citation: Toshihisa Kubo, “Systems of Differential Operators and Generalized Verma Modules”, SIGMA, 10 (2014), 008, 35 pp.
Citation in format AMSBIB
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\by Toshihisa~Kubo
\paper Systems of Differential Operators and Generalized Verma Modules
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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