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Modules over
Fomin–Kirillov algebras and their subalgebras
Be’eri Greenfeld, Sarah Mathison, Aditya Saini and Scott Wynn |
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Vol. 19 (2026), No. 3, 461–470
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Abstract |
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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. |
Keywords
Fomin–Kirillov algebras, point modules
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Mathematical Subject Classification
Primary: 14A22
Secondary: 16S37
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Milestones
Received: 16 August 2024
Revised: 31 January 2025
Accepted: 7 February 2025
Published: 12 June 2026
Communicated by Kenneth S. Berenhaut
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Authors |
| Be’eri Greenfeld | |
| Department of Mathematics and
Statistics CUNY Hunter College New York, NY United States |
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| Sarah Mathison | |
| Department of Mathematics University of Washington Seattle, WA United States |
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| Aditya Saini | |
| Department of Mathematics University of California San Diego La Jolla, CA United States |
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| Scott Wynn | |
| Department of Mathematics University of Washington Seattle, WA United States |
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| © 2026 MSP (Mathematical Sciences Publishers). |
