ON THE LIE ALGEBRAS ASSOCIATED WITH PURE MAPPING CLASS GROUPS

被引：0

作者：

Karoui, R. ^{[1
]}

Vershinin, V. V. ^{[1
,2
]}

机构：

[1] Univ Montpellier 2, Dept Math Sci, F-34095 Montpellier 5, France

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 07期

关键词：

Braid group; Lie algebra; Mapping class group; Presentation; BRAID-GROUPS; SERIES;

D O I：

10.1080/00927872.2010.488668

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Pure braid groups and pure mapping class groups of a punctured sphere have many features in common. In this article, we study the graded Lie algebra of the descending central series of the pure mapping class group of a 2-sphere. A simple presentation of this Lie algebra is obtained.

引用

页码：2290 / 2298

页数：9

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