Boardman--Vogt tensor products of absolutely free operads
arXiv:1705.04573 · doi:10.1017/prm.2018.60
Abstract
We establish a combinatorial model for the Boardman--Vogt tensor product of several absolutely free operads, that is free symmetric operads that are also free as -modules. Our results imply that such a tensor product is always a free -module, in contrast with the results of Kock and Bremner--Madariaga on hidden commutativity for the Boardman--Vogt tensor square of the operad of non-unital associative algebras.
15 pages, comments are welcome