A-infinity Bialgebras of Type (m,n)
Algebraic Topology
2010-01-09 v2
Abstract
An A-infinity bialgebra of type (m,n) is a Hopf algebra H equipped with a "compatible" operation \omega : H^{\otimes m} \to H^{\otimes n} of positive degree. We determine the structure relations for A-infinity bialgebras of type (m,n) and construct a purely algebraic example for each m \geq 2 and m+n \geq 4.
Keywords
Cite
@article{arxiv.0908.0674,
title = {A-infinity Bialgebras of Type (m,n)},
author = {Ainhoa Berciano and Sean Evans and Ronald Umble},
journal= {arXiv preprint arXiv:0908.0674},
year = {2010}
}
Comments
10 pages, 4 figures