Modules over Fomin-Kirillov algebras and their subalgebras

2024/10/21 by Greenfeld, Be'eri, Mathison, Sarah, Saini, Aditya +1 · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2410.16578

Abstract

We compute the truncated point schemes of subalgebras of Fomin-Kirillov algebras associated with certain graphs. While Fomin-Kirillov algebras do not admit any truncated point modules, we prove a tight bound on the degrees of truncated point modules over generalized Fomin-Kirillov algebras associated with trees.

Cited by

• Point modules of Nichols algebras over non-abelian groups

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