A Hopf algebra associated with a Lie pair

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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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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