Results

**1 - 3**of**3**### A PARTIAL A∞-STRUCTURE ON THE COHOMOLOGY OF Cn x Cm

, 2008

"... Suppose k is a field of characteristic 2, and n, m ≥ 4 powers of 2. Then the A∞-structure of the group cohomology algebras H ∗ (Cn, k) and H ∗ (Cm, k) are well known. We give results characterizing an A∞-structure on H ∗ (Cn ×Cm, k) including limits on non-vanishing low-arity operations and an inf ..."

Abstract
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Suppose k is a field of characteristic 2, and n, m ≥ 4 powers of 2. Then the A∞-structure of the group cohomology algebras H ∗ (Cn, k) and H ∗ (Cm, k) are well known. We give results characterizing an A∞-structure on H ∗ (Cn ×Cm, k) including limits on non-vanishing low-arity operations and an infinite family of non-vanishing higher operations.

### Symbolic Description of Hopf Algebras and Perturbation∗

"... We show here a new object depending on a Hopf Algebra with the purpose to obtain via perturbation a coherent notion of an A∞-Hopf algebra. Using matricial and combi-natorial descriptions, we will study the transference of such structure via perturbation. ..."

Abstract
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We show here a new object depending on a Hopf Algebra with the purpose to obtain via perturbation a coherent notion of an A∞-Hopf algebra. Using matricial and combi-natorial descriptions, we will study the transference of such structure via perturbation.