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

页码：299 / 320

页数：22

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