The classification of symplectic structures of convex type

被引：4
|
作者：
Neumann, A [1 ]
机构：
[1] Tech Univ Darmstadt, Fachbereich Math AG 5, D-64289 Darmstadt, Germany
来源：
GEOMETRIAE DEDICATA | 2000年 / 79卷 / 03期
关键词：
symplectic module; symplectic module of convex type; invariant cone; Lie algebra;
D O I：
10.1023/A:1005260629187
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we give a classification of a certain class of semisimple symplectic structures, more precisely all symplectic structures Omega for which a symplectic module (V,Omega) is of convex type. This classification then leads to a classification of Lie algebras with invariant cones and at most one dimensional center.
引用
收藏
页码：299 / 320
页数：22
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