Zobrazeno 1 - 2
of 2
pro vyhledávání: '"Vladislav Romanovskii"'
We study five different types of the homology of a Lie algebra over a commutative ring which are naturally isomorphic over fields. We show that they are not isomorphic over commutative rings, even over Z , and study connections between them. In parti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c3c5a90b1abc0f801aeb4a3cd595fb56
http://arxiv.org/abs/2010.00369
http://arxiv.org/abs/2010.00369
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.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cc3321adf806c044863147d1ae684427