Deformations of vector fields and canonical coordinates on coadjoint orbits

被引：7

作者：

Baranovskii, S. P. ^{[1
]}

Shirokov, I. V. ^{[1
]}

机构：

[1] Novosibirsk State Acad Water Transport, Irtysh Div, Omsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2009年 / 50卷 / 04期

关键词：

Lie algebra; coadjoint orbit; Lie-Poisson bracket; polarization; Pukansky condition;

D O I：

10.1007/s11202-009-0064-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish the concurrence of the existence of a canonical linear embedding, enabling us to pass to the Darboux coordinates on the coadjoint orbits, and the existence of a polarization of a certain linear functional. In a corollary to the main theorem we prove that every polarization is normal, which means that it satisfies the Pukansky condition.

引用

页码：580 / 586

页数：7

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