Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)-Reference-Cited by-同舟云学术

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Compatible Poisson brackets associated with 2‐splittings and Poisson commutative subalgebras of S(g)

Published:2020-12-07 Issue:4 Volume:103 Page:1577-1595
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:J. London Math. Soc.

Author:

Panyushev Dmitri I.¹,Yakimova Oksana S.²

Affiliation:

1. Institute for Information Transmission Problems of the R.A.S. Bolshoi Karetnyi per. 19 Moscow 127051 Russia

2. Institut für Mathematik Friedrich‐Schiller‐Universität Jena Ernst‐Abbe‐Platz 2, Jena 07737 Deutschland

Funder

Russian Foundation for Basic Research

Deutsche Forschungsgemeinschaft

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12418

Reference28 articles.

1. Algebraic Integrability, Painlevé Geometry and Lie Algebras

2. Commutative families of functions related to consistent Poisson brackets

3. Über Bahnen und deren Deformationen bei linearen Aktionen reduktiver Gruppen

4. The index of centralizers of elements of reductive Lie algebras;Charbonnel J.‐Y.;Doc. Math.,2010

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The algebraic classification and degenerations of nilpotent Poisson algebras;Journal of Algebra;2023-02

2. Automorphisms of finite order, periodic contractions, and Poisson-commutative subalgebras of $${\mathcal {S}}({\mathfrak g})$$;Mathematische Zeitschrift;2023-01-30

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