In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008). 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.
Symplectic alternating nil-algebras
TORTORA, ANTONIO;TOTA, Maria;
2012
Abstract
In this paper we continue developing the theory of symplectic alternating algebras that was started in Traustason (2008). 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.File in questo prodotto:
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Symplectic_alternating_nil-algebras.pdf
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