Associahedra, cellular W-construction and products of $A_infty$-algebras
Associahedra, cellular W-construction and products of $A_infty$-algebras
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关联面体、元胞 W 构造和 $A_infty$-代数的乘积
DOI：
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发表时间：
2003
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通讯作者：
S. Shnider
中科院分区：
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作者：
M. Markl;S. Shnider
本文的目的是构造∞-代数的函数张量积，或者等价地，构造Stasheff-代数的整数上胞体链的算子的显式对角线。这些结构实际上已经出现(Saneblidze和Umble，2000和2002)；我们将尝试给出一个更概念性的介绍。我们还证明了不存在余结合对角线。
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.