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arXiv · 2203.11109

Operads with trivial $\mathbb{A}$-actions

Yu Li·Zihao Qi·Yongjun Xu·James J. Zhang·Zerui Zhang·Xiangui Zhao
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Abstract

We study operads with trivial $\mathbb{A}$-actions and prove an equivalence between the category of $\mathbb{A}$-trivial operads and that of pseudo-graded-Perm associative algebras. As a consequence, we show that finitely generated $\mathbb{A}$-trivial operads are right noetherian of integral Gelfand-Kirillov dimension and that every element in a prime $\mathbb{A}$-trivial operad is central.

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Yu Li, Zihao Qi, Yongjun Xu, James J. Zhang, Zerui Zhang, Xiangui Zhao. 2022-03-21. Operads with trivial $\mathbb{A}$-actions. https://arxiv.org/abs/2203.11109

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