A Hopf algebra associated with a Lie pair

被引：5

作者：

Chen, Zhuo ^{[1
]}

Stienon, Mathieu ^{[2
]}

Xu, Ping ^{[2
]}

机构：

[1] Tsinghua Univ, Dept Math, Beijing, Peoples R China

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

COMPTES RENDUS MATHEMATIQUE | 2014年 / 352卷 / 11期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/j.crma.2014.09.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The quotient L/A[-1] of a pair A -> L of Lie algebroids is a Lie algebra object in the derived category D-b(A) of the category A of left U(A)-modules, the Atiyah class alpha(L/A) being its Lie bracket. In this note, we describe the universal enveloping algebra of the Lie algebra object L/A[-1] and we prove that it is a Hopf algebra object in D-b(A). (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：929 / 933

页数：5

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