alexa The algebraic and geometric classification of associative algebras of dimension five


Journal of Generalized Lie Theory and Applications

Author(s): Guerino Mazzola

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The scheme Alg5 of associative, unitary algebra structures on k5, k an algebraically closed field with char (k)≠2 is investigated. We establish the list of GL5-orbits on Alg5 under the action of structural transport. The numberalg5 of irreducible components of Alg5 is 10; a list of generic structures is included. We exhibit upper and lower bounds for the asymptotic behaviour of the numberalgn.

This article was published in manuscripta mathematica and referenced in Journal of Generalized Lie Theory and Applications

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