Jordan structures and non-associative geometry

Wolfgang Bertram (1)

1 IECN - Institut Élie Cartan de Nancy

In this survey paper we give an overview over constructions of geometries associated to Jordan structures (algebras, triple systems and pairs), featuring analogs of these constructions with the Lie functor on the one hand and with the approach of non-commutative geometry on the other hand.

Mots clés: Jordan pair; Lie triple system; graded Lie algebra; filtered Lie algebra; generalized projective geometry; flag geometries; (non-) associative algebra and geometry

Domaines: Anneaux et algèbres [math.RA]

Wolfgang Bertram. Jordan structures and non-associative geometry. 2007. ⟨hal-00153373⟩