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Quasigroups, loops and related binary systems on algebraic manifolds

Ziel

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.

Wissenschaftliches Gebiet (EuroSciVoc)

Schlüsselbegriffe

Thema/Themen

Aufforderung zur Vorschlagseinreichung

FP6-2005-MOBILITY-5
Andere Projekte für diesen Aufruf anzeigen

Finanzierungsplan

EIF - Marie Curie actions-Intra-European Fellowships

Koordinator

BAYERISCHE JULIUS-MAXIMILIANS-UNIVERSITAET WUERZBURG
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