29/10/2015, 14:30 hs, aula 15 FaMAF

On the enveloping field of certain Lie superalgebras.

Expositor: Dr. Francois Dumas (Université Blaise Pascal, Clermont-Ferrand).

Resumen: A finite dimensional Lie algebra satisfies the Gelfand-Kirillov
property if its enveloping algebra is rationally equivalent to a Weyl algebra over a purely
transcendental extension of the base field. We study in this talk an analog
of this property for Lie superalgebras and prove that it is true for the
nilpotent positive part and for the Borel subsuperalgebra of the
orthosymplectic Lie superalgebra \(osp(1,2n)\).