Lie Bialgebras on k3 and Lagrange Varieties

被引：1
|
作者：
Hong, Wei [1 ,2 ]
Liu, Zhangju [1 ,2 ]
机构：
[1] Peking Univ, Dept Math, Beijing 100871, Peoples R China
[2] Peking Univ, LMAM, Beijing 100871, Peoples R China
来源：
JOURNAL OF LIE THEORY | 2009年 / 19卷 / 04期
关键词：
Lie bialgebra; Lagrange subalgebra; POISSON HOMOGENEOUS SPACES; CLASSIFICATION; SUBALGEBRAS;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Lie bialgebras on k(3) and the corresponding Lagrange varieties are classified by means of a pair of quadratic forms on k(4), where k is a field whose characteristic is not 2. It turns out that any Lagrange variety is composed of two (possibly degenerate) quadratic surfaces in kP(3) defined by the above quadratic forms respectively.
引用
收藏
页码：639 / 659
页数：21
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