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The Lie Pseudoalgebra of an Anchored Module

Paul Popescu

Department of Applied Mathematics, University of Craiova, 13, Al.I.Cuza st., Craiova 1100, Romania

https://doi.org/10.1142/S1005386706000241Cited by:2 (Source: Crossref)

Abstract

The aim of this paper is to define and to construct some ∞-Lie functors from two categories of anchored modules which admit linear connections to the corresponding categories of Lie pseudoalgebras; the isomorphism class of the Lie pseudoalgebra does not depend on the linear connection or on the corresponding bracket. In the particular case of a module, the ∞-Lie algebra is isomorphic with the free Lie algebra of the module in Bourbaki's sense.

Keywords:

AMSC: 16D90, 17B65, 17B66, 18F15, 53C05

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