The non-symmetric operad pre-Lie is free
Nantel Bergeron, Muriel Livernet (LAGA)
TL;DR
This paper proves that the pre-Lie operad is a free non-symmetric operad, establishing a fundamental structural property of this algebraic object.
Contribution
It demonstrates that the pre-Lie operad is free as a non-symmetric operad, a novel structural insight.
Findings
Pre-Lie operad is a free non-symmetric operad
Provides a new understanding of pre-Lie algebra structures
Establishes foundational properties for further algebraic research
Abstract
We prove that the pre-Lie operad is a free non-symmetric operad.
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Taxonomy
TopicsAdvanced Topics in Algebra · Homotopy and Cohomology in Algebraic Topology · Advanced Differential Geometry Research