Automorphic equivalence of the representations of Lie algebras

We prove that if a field k is infinite, char(k)=0 and k has not nontrivial automorphisms then automorphic equivalence of representations of Lie algebras coincide with geometric equivalence. We achieve our result by consideration of 1-sorted objects. We suppose that our method can be perspective in the further researches.Comment: 28 page

The First International Algebra and Geometry Conference in Armenia 16-20 May, 2007, Yerevan

The First International Algebra and Geometry Conference in Armenia 16-20 May, 2007, Yerevan. The conference was devoted to a variety of topics in algebra, geometry, topology, their applications and related fields. The aim of the conference was to invite well known researchers working in these fields to Armenia, and to establish contacts between them and the scientists working in these fields in Armenia