Geodesic
On automorphisms of graded quasi-Lie algebras
Filomat, Tome 34 (2020) no. 9, p. 3141

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DOI

Let Z be the ring of integers and let K(Z, 2n) denote the Eilenberg-MacLane space of type (Z, 2n) for n ≥ 1. In this article, we prove that the graded group A m := Aut(π ≤2mn+1 (ΣK(Z, 2n))/torsions) of automorphisms of the graded quasi-Lie algebras π ≤2mn+1 (ΣK(Z, 2n)) modulo torsions that preserve the Whitehead products is a finite group for m ≤ 2 and an infinite group for m ≥ 3, and that the group Aut(π * (ΣK(Z, 2n))/torsions) is non-abelian. We extend and apply those results to techniques in localization (or rationalization) theory.
DOI : 10.2298/FIL2009141L
Classification : 17B01, 55P20, 55P60, 55S37
Keywords: Aut, commutator, Eilenberg-MacLane space, rational homotopy Lie algebra, localization, rationalization, graded quasi-Lie algebra 
Dae-Woong Lee; Sunyoung Lee; Yeonjeong Kim; Jeong-Eun Lim. On automorphisms of graded quasi-Lie algebras. Filomat, Tome 34 (2020) no. 9, p. 3141 . doi: 10.2298/FIL2009141L
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     title = {On automorphisms of graded {quasi-Lie} algebras},
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     doi = {10.2298/FIL2009141L},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2009141L/}
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