Truncation of Unitary Operads
Yan-Hong Bao, Yu Ye, James J. Zhang
TL;DR
This paper introduces truncation ideals in unitary symmetric operads to analyze their structure, growth, and classify low Gelfand-Kirillov dimension operads, advancing understanding of operad theory.
Contribution
It presents a novel approach using truncation ideals to study ideal structure and classify operads based on Gelfand-Kirillov dimension.
Findings
Characterization of ideal structure in unitary symmetric operads
Classification of operads with low Gelfand-Kirillov dimension
Development of tools for analyzing operad growth properties
Abstract
We introduce truncation ideals of a -linear unitary symmetric operad and use them to study ideal structure, growth property and to classify operads of low Gelfand-Kirillov dimension.
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