Symplectic alternating nil-algebras

Antonio Tortora, Maria Tota, Gunnar Traustason

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In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008) [3]. We focus on nilpotency, solubility and nil-algebras. We show in particular that symplectic alternating nil-2 algebras are always nilpotent and classify all nil-algebras of dimension up to 8.
Original languageEnglish
Pages (from-to)183-202
Number of pages20
JournalJournal of Algebra
Publication statusPublished - 1 May 2012


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