# Reference for Tensors on graded spaces needed

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

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

http://lanl.arxiv.org/abs/math/0507286

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