A Hopf algebra associated with a Lie pair

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The quotient L/A[-1] of a pair A {right arrow, hooked} L of Lie algebroids is a Lie algebra object in the derived category Db(A) of the category A of left U(A)-modules, the Atiyah class αL/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 Db(A).

Original languageEnglish (US)
Pages (from-to)929-933
Number of pages5
JournalComptes Rendus Mathematique
Volume352
Issue number11
DOIs
StatePublished - Jan 1 2014

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Hopf Algebra
Lie Algebra
Lie Algebroids
Lie Brackets
Universal Enveloping Algebra
Michael Francis Atiyah
Derived Category
Quotient
Module
Object

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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A Hopf algebra associated with a Lie pair. / Chen, Zhuo; Stienon, Mathieu Philippe; Xu, Ping.

In: Comptes Rendus Mathematique, Vol. 352, No. 11, 01.01.2014, p. 929-933.

Research output: Contribution to journalArticle

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