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Quasigroups, loops and related binary systems on algebraic manifolds

Obiettivo

The concept of quasigroups is the non- associative generalization of the concept of groups. Since the 1930's, different categories (finite, topological, analytic) of quasigroups were intensively studied. In this project, we intend to investigate algebraic quasigroups and related geometric and group theoretical structures. The adjective algebraic is meant in the sense of algebraic geometry, that is, we assume that the underlying set Q of the quasigroup is an algebraic variety and the multiplication and its in verses are regular morphisms for Q×Q to Q.

In our investigations, we will concentrate on the following problems: Factors of algebraic quasigroups; algebraic quasigroups and algebraic transformation groups; non regular algebraic quasigroups; the geometry of algebraic quasigroups. Our main tool is to collect information on the transformation groups generated by left and right multiplications of the quasigroup or special symmetries of the associated 3-net.

Campo scientifico (EuroSciVoc)

Parole chiave

Argomento(i)

Invito a presentare proposte

FP6-2005-MOBILITY-5
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Meccanismo di finanziamento

EIF - Marie Curie actions-Intra-European Fellowships

Coordinatore

BAYERISCHE JULIUS-MAXIMILIANS-UNIVERSITAET WUERZBURG
Contributo UE
Nessun dato
Costo totale
Nessun dato