Homological algebra of homotopy algebras

Details Homological algebra of homotopy algebras Homological algebra of homotopy algebras

1997-02-11

arxiv.org/abs/q-alg/9702015v1

Mathematics

Quantum Algebra

AMS-LaTeX v1.2 (Compatibility mode), 39 pages

Scientific paper

We define closed model category structures on different categories connected to the world of operad algebras over the category C(k) of (unbounded) complexes of k-modules: on the category of operads, on the category of algebras over a fixed operad, on the category of modules over a fixed operad algebra. In Sections 2 - 6 we define the necessary structures and provide some standard comparison results. In Section 7 we define cotangent complex. In Section 8 we define a canonical structure of homotopy Lie algebra on the tangent complex.

Affiliated with

Also associated with

No associations

Rating

Homological algebra of homotopy algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Homological algebra of homotopy algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Homological algebra of homotopy algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-393537