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arXiv · 0706.0703

Some naturally ocurring examples of A-infinity bialgebras

A. Berciano·R. Umble
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Abstract

Let p be an odd prime. When n>2, we show that each tensor factor of form E \otimes Γin H(Z,n;Z_p) is an A-infinity bialgebra with non-trivial structure. We give explicit formulas for the structure maps and the quadratic relations among them. Thus E \otimes Γis a naturally occurring example of an A-infinity bialgebra whose internal structure is well-understood.

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A. Berciano, R. Umble. 2010-09-05. Some naturally ocurring examples of A-infinity bialgebras. https://arxiv.org/abs/0706.0703

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