LIE GROUPS IN QUASI-POISSON GEOMETRY AND BRAIDED HOPF ALGEBRAS

被引：0

作者：

Severa, Pavol ^{[1
]}

Valach, Fridrich ^{[1
]}

机构：

[1] Univ Geneva, Sect Math, Geneva, Switzerland

来源：

DOCUMENTA MATHEMATICA | 2017年 / 22卷

基金：

欧洲研究理事会; 瑞士国家科学基金会;

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend the notion of Poisson-Lie groups and Lie bialgebras from Poisson to g-quasi-Poisson geometry and provide a quantization to braided Hopf algebras in the corresponding Drinfeld category. The basic examples of these g-quasi-Poisson Lie groups are nilpotent radicals of parabolic subgroups. We also provide examples of moment maps in this new context coming from moduli spaces of flat connections on surfaces.

引用

页码：953 / 972

页数：20

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