The algebraic and geometric classification of associative algebras of dimension five

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Abstract

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 number alg5 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 number algn.

Original languageEnglish (US)
Pages (from-to)81-101
Number of pages21
JournalManuscripta Mathematica
Volume27
Issue number1
DOIs
StatePublished - Mar 1 1979
Externally publishedYes

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