Seminario de Álgebra: "A Kurosh-type theorem for some class of Lie algebras".- Miércoles 25 de mayo

El miércoles 25 de mayo a las 13:00 h tendrá lugar, en el Seminario de Álgebra del Edificio B (Matemáticas), la conferencia que impartirá Simone Blumer (Università di Milano-Bicocca, Universidad de Zaragoza). Se titula “A Kurosh-type theorem for some class of Lie algebras".

Abstract: Kurosh theorem for groups provides the structure of any subgroup of a free product of groups and its proof relies on Bass-Serre theory of groups acting on trees. In the case of Lie algebras, such a general theory does not exist and the analogue of Kurosh theorem is false in general, as it was first noticed by A.I. Shirshov. However, we prove that, for a class of positively graded Lie algebras satisfying certain local properties in cohomology, an analogue of such a structure theorem holds true for subalgebras generated by elements of degree 1. Such class consists of Koszul Lie algebras, in which all the subalgebras that are generated in degree $1$ are Koszul