Universität zu Köln

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:	Creators Email ORCID ORCID Put Code Panyushev, Dmitri, I UNSPECIFIED UNSPECIFIED UNSPECIFIED Yakimova, Oksana S. UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language LIE-ALGEBRA; CENTRALIZERS; INDEX; MULTIPLICITIES; INVARIANTS; FAMILIES; ELEMENTS; SHIFT Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/33226