53 citations · 152 across the 25 of their papers we have counts for
4 papers · 1 filter
Primitive ideals, non-restricted representations and finite W-algebras
Alexander Premet
We prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this resu…
On symmetric invariants of centralisers in reductive Lie algebras
D. Panyushev, A. Premet, O. Yakimova
Let be the centraliser of a nilpotent element in a finite dimensional simple Lie algebra of rank over an algebraically closed field of characteristic 0. We invest…
Simple Lie algebras of small characteristic V. The non-Melikian case
Alexander Premet, Helmut Strade
Let L be a finite dimensional simple Lie algebra over an algebraically closed field of characteristic p>3. We prove in this paper that if all tori of maximal dimansion in the semis…
Classification of finite dimensional simple Lie algebras in prime characteristics
Alexander Premet, Helmut Strade
We give a comprehensive survey of the theory of finite dimensional Lie algebras over an algebraically closed field of characteristic p>0 and announce that for p>3 the classificatio…