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Is there a good introduction to

1.) Tensor (co)algebras on graded vector spaces ?

2.) Tensor (co)algebras on graded modules ?

In the research field of $L_\infty$-algebras there is some stuff, but nothing I know is a comprehensive introduction, including proofs.

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1 Answer 1

One pedagogical treatment of 1) is Chapter VIII from Marco Manetti's Lectures on deformations of complex manifolds


Another reference is Quillen's Rational homotopy theory, Appendix B. It is published in The Annals of Math., Vol.90, No.2, 1969.

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Thanks, on a short look on the first reference, it is indeed comprehensive. Nevertheless it says nothing about the situation on modules. (Like the tensor (co)-algebra on sections of a vector bundle) –  Nevermind Feb 26 '12 at 10:51

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