Séminaire de Physique ThéoriqueTernary algebras and groups for higher order extensions of Poincare symmetries
Michel Rausch de Traubenberg (Strasbourg)
Wednesday 04 February 2009 14:00 - Tours - Salle 1180 (Bât E2)
We introduce an algebraic structure called Lie algebras of order F, which naturally comprise the concepts of ordinary Lie algebras and superalgebras. This structure enables us to define non-trivial higher order extensions of the Poincare algebra which have been implemented in the quantum field theory frame. But no group associated to these types of algebras were defined. In this talk we define groups associated to Lie algebras of order three. An explicit matrix representation of a group associated to a peculiar Lie algebra of order three, considering relevant variables is given. These groups are constructed in a straight analogy with the supergroups associated to Lie superalgebras.