A-infinity Bialgebras of Type (m,n)

Details A-infinity Bialgebras of Type (m,n) A-infinity Bialgebras of Type (m,n)

2009-08-05

arxiv.org/abs/0908.0674v2

Mathematics

Algebraic Topology

10 pages, 4 figures

Scientific paper

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.

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