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Title: Modular invariants of graded Lie algebras Abstract: Let g be the Lie algebra of a reductive algebraic group G, defined over an algebraically closed field k. In many instances g admits a Z/mZgrading, for m a nonnegative integer, and there exists a connected reductive subgroup G(0) of G acting algebraically on each graded component. The orbit structure and invariant theory for the action of G(0) on a fixed graded component have been extensively studied. Vinberg proved that, if k is of characteristic 0, the ring of invariant functions for this action is a polynomial ring. Levy generalised this result to fields of characteristic p>0 in the case in which the integers p and m are coprime, obtaining again polynomiality of invariants. My talk will be devoted to presenting some results relative to the yet untreated case of a Z/pZgrading in characteristic p>0.Period  7 May 2019 

Visiting from  University of Mancester (United Kingdom) 
Degree of Recognition  Local 
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Department of Mathematics  Algebra Seminar Series
Activity: Participating in or organising an event › Seminar/workshop/course