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Covariants in the exterior algebra of a simple Lie algebra

Vrijeme: 11.11.2015
17:00
Predavaonica: 005
Predavač: Paolo Papi, Universita di Roma La Sapienza
Naziv: Covariants in the exterior algebra of a simple Lie algebra
Opis:

I'll give a broad introduction to the representation theory of the exterior algebra Λg of a simple Lie algebra g. Then I will concentrate on the study of the space of covariants A = (Λg⊗g)^g (which describes the isotypic component of type g in Λg) as a module over the algebra of invariants (Λg)^g. I 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).

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