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 | References | Similar Articles | Additional Information
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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Additional Information
Keywords:
Simplicial Lie algebras,
Hopf invariant,
Adams spectral sequence,
Steenrod algebra,
suspension sequence
Article copyright:
© Copyright 1970
American Mathematical Society