Deformations of the Lie-Poisson sphere of a compact semisimple Lie algebra

被引：7

作者：

Marcut, Ioan ^{[1
]}

机构：

[1] Univ Illinois, Urbana, IL 61801 USA

来源：

COMPOSITIO MATHEMATICA | 2014年 / 150卷 / 04期

基金：

欧洲研究理事会;

关键词：

Poisson geometry; semisimple Lie algebras of compact type;

D O I：

10.1112/S0010437X13007689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A compact semisimple Lie algebra g induces a Poisson structure pi(S) on the unit sphere S(g*) in g*. We compute the moduli space of Poisson structures on S(g*) around pi(S). This is the first explicit computation of a Poisson moduli space in dimension greater or equal than three around a degenerate (i.e. not symplectic) Poisson structure.

引用

页码：568 / 578

页数：11

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