Universal central extensions of gauge algebras and groups

被引：3

作者：

Janssens, Bas ^{[1
]}

Wockel, Christoph ^{[1
]}

机构：

[1] Univ Hamburg Math, D-20146 Hamburg, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2013年 / 682卷

关键词：

LIE-GROUPS;

D O I：

10.1515/crelle-2012-0021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the canonical central extension of the group of sections of a Lie group bundle over a compact manifold, constructed by Neeb and Wockel (2009), is universal. In doing so, we prove universality of the corresponding central extension of Lie algebras in a slightly more general setting.

引用

页码：129 / 139

页数：11

共 19 条

[1] LIE-ALGEBRA OF VECTOR FIELDS AND COMPLEX STRUCTURE
AMEMIYA, I
[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1975, 27 (04) : 545 - 549
[2] [Anonymous], 2010, TRANSFORMATION UNCER
[3] [Anonymous], 1960, Math. Scand
[4] BREDON GE, 1968, PAC J MATH, V25, P1
[5] Fuks D. B., 1986, CONT SOVIET MATH
[6] Gelfand I.M., 1970, IZ AKA NA SSSR, V34, P322
[7] Grothendieck A., 1955, Produits Tensoriels Topologiques et Espaces Nuclaires, VVolume 16
[8] Gündogan H, 2010, J LIE THEORY, V20, P709
[9] LOSEV A, 1998, SEL MATH-NEW SER, V4, P117
[10] Central extensions of current groups
Maier, P
Neeb, KH
[J]. MATHEMATISCHE ANNALEN, 2003, 326 (02) : 367 - A3

← 1 2 →