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On generic principal ideals in the exterior algebra
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 22019 (English)In: Journal of Pure and Applied Algebra, ISSN 0022-4049, E-ISSN 1873-1376, Vol. 223, no 6, p. 2615-2634Article in journal (Refereed) Published
Abstract [en]

We give a lower bound on the Hilbert series of the exterior algebra modulo a principal ideal generated by a generic form of odd degree and disprove a conjecture by Moreno-Socias and Snellman. We also show that the lower bound is equal to the minimal Hilbert series in some specific cases.

Place, publisher, year, edition, pages
2019. Vol. 223, no 6, p. 2615-2634
Keywords [en]
Exterior algebra, Hilbert series, Generic forms
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-166641DOI: 10.1016/j.jpaa.2018.09.011ISI: 000457668600017OAI: oai:DiVA.org:su-166641DiVA, id: diva2:1296339
Available from: 2019-03-14 Created: 2019-03-14 Last updated: 2019-03-14Bibliographically approved

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