CENTRAL EXTENSIONS OF LIE BIALGEBRAS AND POISSON-LIE GROUPS

被引：2

作者：

BENAYED, M

机构：

[1] UFR de Mathématiques, Université de Lille I

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 1995年 / 16卷 / 03期

关键词：

CENTRAL EXTENSIONS; LIE BIALGEBRAS; POISSON-LIE GROUPS;

D O I：

10.1016/0393-0440(94)00029-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce the notions of central extensions of Lie bialgebras and Poisson-Lie groups, which we classify up to equivalence. Furthermore we describe the relation between these two notions in terms of our classification.

引用

页码：301 / 304

页数：4

共 6 条

[1]

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[2]

Aminou, Kosmann-Schwarzbach, Bigèbres de Lie, doubles et carrés, Ann. Inst. Henri Poincaré A, 49, 4, pp. 461-478, (1988)

[3]

Kosmann-Schwarzbach, Poisson-Drinfel'd groups, 5, (1987)

[4]

Lecomte, Roger, Modules et cohomologies des bigèbres de Lie, C.R. Acad. Sci. Paris Série I, 310, pp. 405-410, (1990)

[5]

Lu, Weinstein, Poisson-Lie groups, dressing transformations and Bruhat decompositions, J. Differential Geometry, 31, pp. 1237-1260, (1990)

[6]

Tuynman, Wiegerinck, Central extensions and physics, J. Geometry Physics, 4, pp. 207-258, (1987)

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