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arXiv · 1509.08030

On the Maximal Containments of Lower Central Series Ideals

Rumen Rumenov Dangovski
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Abstract

We begin a discussion about the maximal containments of lower central series ideals: ideals generated by products of two-sided ideals of the lower central series of the free associative algebra on $n$ generators. We introduce two new ideas to the topic, the PBW grading and the pigeonhole principle, that help us give a complete classification of the containments for $n=2$ and obtain partial results in the general case.

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Rumen Rumenov Dangovski. 2015-09-26. On the Maximal Containments of Lower Central Series Ideals. https://arxiv.org/abs/1509.08030

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