Associahedra, cellular W-construction and products of A- algebras

Martin Markl, Steve Shnidbr

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The aim of this paper is to construct a functorial tensor product of A -algebras or, equivalently, an explicit diagonal for the operad of cellular chains, over the integers, of the Stasheff associahedron. These constructions in fact already appeared (Saneblidze and Umble, 2000 and 2002); we will try to give a more conceptual presentation. We also prove that there does not exist a coassociative diagonal.

Original languageEnglish
Pages (from-to)2353-2372
Number of pages20
JournalTransactions of the American Mathematical Society
Volume358
Issue number6
DOIs
StatePublished - Jun 2006

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