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Effective approach of the tridendriform Schroeder tree algebra

arXiv CS Monday 01 June 2026, 04:00 UTC By Pierre Catoire (IMAG), Jean Fromentin (LMPA) 1 min read
Key Points

Announce Type: replace Abstract: We introduce a primitive computation problem in the free tridendriform algebra generated by one element which is a Hopf algebra based on Schroeder trees. We know a complex way to generate all of them. To understand it clearer, we want to implement this method on a computer.

arXiv:2603.29393v2 Announce Type: replace Abstract: We introduce a primitive computation problem in the free tridendriform algebra generated by one element which is a Hopf algebra based on Schroeder trees. We know a complex way to generate all of them. To understand it clearer, we want to implement this method on a computer. However, we need to create some tools to implement Schroeder trees and the multiplications over this algebra to be able to compute the primitive elements. We also checked numerically that they are all primitive elements. In this paper, we detail how we made the problem mathematically understandable for a computer and how we implement it.
Schroeder (PERSON) Hopf (ORG)
Originally published by arXiv CS Read original →

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