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.
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页码：639 / 659
页数：21
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