The Basic Lemma in the Theory of Formal Groups
Identifieur interne : 001975 ( Istex/Checkpoint ); précédent : 001974; suivant : 001976The Basic Lemma in the Theory of Formal Groups
Auteurs : Carlos Moreno [France, Espagne] ; Felix Galvez [Espagne]Source :
- Mathematical Physics Studies ; 1995.
Abstract
Abstract: We prove the theorem by M. Lazard about the cohomology of the classical analyseur in characteristic zero in the framework of the basic notions of the simplicial homotopy theory outlined by Drinfeld. In the end we must compute the cohomology of the quotient simplicial set I r / ∂ r , where I r is the r th cartesian product of the standard 1-simplex I and ∂ I r is its boundary. It is zero but in degree r in which case it is of dimension 1. Lazard theorem plays a fundamental role in the theory of quasi-Hopf quantized universal enveloping-algebras.
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DOI: 10.1007/978-94-015-8543-9_18
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