Systems of Differential Operators and Generalized Verma Modules

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 de...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2014
Main Author: Kubo, T.
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/146848
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Systems of Differential Operators and Generalized Verma Modules / T. Kubo // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
id nasplib_isofts_kiev_ua-123456789-146848
record_format dspace
spelling Kubo, T.
2019-02-11T17:09:59Z
2019-02-11T17:09:59Z
2014
Systems of Differential Operators and Generalized Verma Modules / T. Kubo // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 40 назв. — англ.
1815-0659
2010 Mathematics Subject Classification: 22E46; 17B10; 22E47
DOI:10.3842/SIGMA.2014.08
https://nasplib.isofts.kiev.ua/handle/123456789/146848
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.
The author was supported by the Global COE program at the Graduate School of Mathematical Sciences, the University of Tokyo, Japan. He would like to be thankful for the referees for their careful reading and invaluable comments.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Systems of Differential Operators and Generalized Verma Modules
Article
published earlier
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
title Systems of Differential Operators and Generalized Verma Modules
spellingShingle Systems of Differential Operators and Generalized Verma Modules
Kubo, T.
title_short Systems of Differential Operators and Generalized Verma Modules
title_full Systems of Differential Operators and Generalized Verma Modules
title_fullStr Systems of Differential Operators and Generalized Verma Modules
title_full_unstemmed Systems of Differential Operators and Generalized Verma Modules
title_sort systems of differential operators and generalized verma modules
author Kubo, T.
author_facet Kubo, T.
publishDate 2014
language English
container_title Symmetry, Integrability and Geometry: Methods and Applications
publisher Інститут математики НАН України
format Article
description 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.
issn 1815-0659
url https://nasplib.isofts.kiev.ua/handle/123456789/146848
citation_txt Systems of Differential Operators and Generalized Verma Modules / T. Kubo // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 40 назв. — англ.
work_keys_str_mv AT kubot systemsofdifferentialoperatorsandgeneralizedvermamodules
first_indexed 2025-12-02T06:19:10Z
last_indexed 2025-12-02T06:19:10Z
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