Symplectic alternating nil-algebras

Antonio Tortora; Maria Tota; Gunnar Traustason

doi:10.1016/j.jalgebra.2012.02.012

Symplectic alternating nil-algebras

Antonio Tortora, Maria Tota, Gunnar Traustason

Department of Mathematical Sciences

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Abstract

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 language	English
Pages (from-to)	183-202
Number of pages	20
Journal	Journal of Algebra
Volume	357
DOIs	https://doi.org/10.1016/j.jalgebra.2012.02.012
Publication status	Published - 1 May 2012

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Traustason_Journal-Alegbra_2012_357_183.pdf
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Algebra. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Algebra, vol 35, 2012, DOI 10.1016/j.jalgebra.2012.02.012
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abstract = "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.",

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Symplectic alternating nil-algebras

Abstract

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