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Classifying local Artinian Gorenstein algebras

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dc.abstract.enThe classification of local Artinian Gorenstein algebras is equivalent to the study of orbits of a certain non-reductive group action on a polynomial ring. We give an explicit formula for the orbits and their tangent spaces. We apply our technique to analyse when an algebra is isomorphic to its associated graded algebra. We classify algebras with Hilbert function (1, 3, 3, 3, 1), obtaining finitely many isomorphism types, and those with Hilbert function (1, 2, 2, 2, 1, 1, 1). We consider fields of arbitrary, large enough, characteristic.
dc.affiliationUniwersytet Warszawski
dc.contributor.authorJelisiejew, Joachim
dc.date.accessioned2024-01-24T19:25:07Z
dc.date.available2024-01-24T19:25:07Z
dc.date.issued2017
dc.description.financeNie dotyczy
dc.description.number1
dc.description.volume68
dc.identifier.doi10.1007/S13348-016-0183-1
dc.identifier.issn0010-0757
dc.identifier.urihttps://repozytorium.uw.edu.pl//handle/item/103123
dc.languageeng
dc.pbn.affiliationmathemathics
dc.relation.ispartofCollectanea Mathematica
dc.relation.pages101–127
dc.rightsClosedAccess
dc.sciencecloudnosend
dc.titleClassifying local Artinian Gorenstein algebras
dc.typeJournalArticle
dspace.entity.typePublication