[en] Category of pro-nilpotently extended differential graded commutative algebras
is introduced. Chevalley-Eilenberg construction provides an equivalence between
its certain full subcategory and the opposite to the full subcategory of strong
homotopy Lie Rinehart pairs with strong homotopy morphisms, consisting of pairs
$(A,M)$ where $M$ is flat as a graded $A$-module. It is shown that pairs
$(A,M)$, where $A$ is a semi-free dgca and $M$ a cell complex in $\op{Mod}(A)$,
form a category of fibrant objects by proving that their Chevalley-Eilenberg
complexes form a category of cofibrant objects.
Disciplines :
Mathematics
Author, co-author :
PISTALO, Damjan ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)
Language :
English
Title :
Pro-nilpotently extended dgca-s and SH Lie-Rinehart pairs
