Covariants in the exterior algebra of a simple Lie algebra
23 April 14:00 - 15:00
Paolo Papi - Sapienza University of Rome
For a simple complex Lie algebra g we study the space of invariants A = (Lambda(g)@g)^g (which describes the isotypic component of type g in the exterior algebra of g) as a module over the algebra I of g-invariants in the exterior algebra. As main result we prove that A is a free module, of rank twice the rank of g, over the exterior algebra generated by all primitive invariants in I with the exception of the one of highest degree. We will also discuss generalizations of this result and some related problems. Joint project with C. De Concini and C. Procesi (and partly with P. Moseneder Frajria).
Henning Haahr Andersen
Aslak Bakke Buan
NTNU - Norwegian University of Science and Technology