The Biderivative and A_\infty-bialgebras

Details The Biderivative and A_\infty-bialgebras The Biderivative and A_\infty-bialgebras

2004-06-14

arxiv.org/abs/math/0406270v7

J. Homology, Homotopy and Appl., 7 No. 2 (2005), pp. 161-177.

Mathematics

Algebraic Topology

15 pages, 5 figures. This final version (3-19-05) features improved graphics and other minor improvements

Scientific paper

An A_\infty-bialgebra is a DGM H equipped with structurally compatible operations {\omega^{j,i} : H^{\otimes i} --> H^{\otimes j}} such that (H,\omega^{1,i}) is an A_\infty-algebra and (H,\omega^{j,1}) is an A_\infty-coalgebra. Structural compatibility is controlled by the biderivative operator Bd, defined in terms of two kinds of cup products on certain cochain algebras of pemutahedra over the universal PROP U = End(TH).

Affiliated with

Also associated with

No associations

Rating

The Biderivative and A_\infty-bialgebras 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 The Biderivative and A_\infty-bialgebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Biderivative and A_\infty-bialgebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-400897