On the free commutative monoid over a positive operad

Dominique Manchon; Hedi Regeiba; Imen Rjaiba; Yannic Vargas

On the free commutative monoid over a positive operad

Dominique Manchon, Hedi Regeiba, Imen Rjaiba, Yannic Vargas

Institute of Discrete Mathematics (5050)

Research output: Working paper › Preprint

Abstract

We give the explicit description of an operad structure on the free commutative monoid E o q generated by a given positive operad q. This construction, new up to our knowledge, does not seem to be reachable through a distributive law.

Original language	English
Publication status	Published - 7 Nov 2023

Keywords

math.CO

Access to Document

https://arxiv.org/abs/2311.03808Licence: Other

Cite this

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title = "On the free commutative monoid over a positive operad",

abstract = " We give the explicit description of an operad structure on the free commutative monoid E o q generated by a given positive operad q. This construction, new up to our knowledge, does not seem to be reachable through a distributive law. ",

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note = "Withdrawed because of a major error: the object thus obtained is interesting but is NOT an operad. The error is in the proof of nested associativity (A2), top of Page 10, passage to the last line of the computation. Another preprint about this object is planned to come soon",

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BT - On the free commutative monoid over a positive operad

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