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A Simple proof of Curtis' connectivity theorem for Lie powers by Ivanov, Sergei O.; Romanovskii, Vladislav; Semenov, Andrei is a scholarly article available to read on EtoBox.

What is A Simple proof of Curtis' connectivity theorem for Lie powers about?

We give a simple proof of the Curtis' theorem: if $A_\bullet$ is $k$-connected free simplicial abelian group, then $L^n(A_\bullet)$ is an $k+ \lceil \log_2 n \rceil$-connected simplicial abelian group, where $L^n$ is the functor of $n$-th Lie power. In the proof we do not use Curtis' decomposition of Lie powers. Instead of this we use the Chevalley-Eilenberg complex for the free Lie algebra.

Author

Ivanov, Sergei O.; Romanovskii, Vladislav; Semenov, Andrei

Published

2019

Language

EN