Panyushev, Dmitri, I and Yakimova, Oksana S. (2020). Poisson-commutative subalgebras and complete integrability on non-regular coadjoint orbits and flag varieties. Math. Z., 295 (1-2). S. 101 - 128. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1432-1823
Full text not available from this repository.Abstract
The purpose of this paper is to bring together various loose ends in the theory of integrable systems. For a semisimple Lie algebra g, we obtain several results on the completeness of homogeneous Poisson-commutative subalgebras of S(g) on coadjoint orbits. This concerns, in particular, Gelfand-Tsetlin and Mishchenko-Fomenko subalgebras. Our results reveal the crucial role of nilpotent orbits and sheets in g similar or equal to g*.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-332265 | ||||||||||||
DOI: | 10.1007/s00209-019-02357-y | ||||||||||||
Journal or Publication Title: | Math. Z. | ||||||||||||
Volume: | 295 | ||||||||||||
Number: | 1-2 | ||||||||||||
Page Range: | S. 101 - 128 | ||||||||||||
Date: | 2020 | ||||||||||||
Publisher: | SPRINGER HEIDELBERG | ||||||||||||
Place of Publication: | HEIDELBERG | ||||||||||||
ISSN: | 1432-1823 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/33226 |
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