Center,semi-center, polynomial invariants and semi-invariants for enveloping algebra in prime characteristic.

Amiraun Braun (Haifa)

Wednesday 8th October, 2008 14:00-15:00 326


Given a finite dimensional Lie algebra over a field of prime characteristic.We shall consider the factorial properties of the center and semi-center of its enveloping algebra and find analogs of theorems due to J.Dixmier and C.Moeglin in the zero a different strand we will describe analogs of theorems due to R.P.Stanley and H.Nakajima,in the context of polynomial invariants of finite groups.This naturally leads to the study of Lie algebra polynomial invariants and relative(semi-)invariants,and we present results in this direction.

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