On the homotopy theory of simplicial Lie algebras

Priddy, Stewart B.

doi:10.1090/S0002-9939-1970-0270371-9

On the homotopy theory of simplicial Lie algebras

Author: Stewart B. Priddy
Journal: Proc. Amer. Math. Soc. 25 (1970), 513-517
MSC: Primary 55.40
DOI: https://doi.org/10.1090/S0002-9939-1970-0270371-9
MathSciNet review: 0270371
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Abstract: Elements ${\lambda _n},\;n \geqq 0$, which generate the homotopy groups of spheres in the category of simplicial Lie algebras are shown to have Hopf invariant one. This fact is shown to have strong implications for the homotopy theory of this category.

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