Automorphisms of H-type Lie algebras and how they can be useful

Speaker: Irina Markina, Professor @ Department of Mathematics, UiB

Abstract: 

H-type Lie algebras is a family of two-step (pseudo) metric Lie algebras with additional symmetries inherited from the Clifford algebras. We will describe the structure of the group of automorphisms of two-step Lie algebras and determine it precisely for H-type Lie algebras. Then, we outline two ongoing projects where the group of automorphisms and their subgroups of isometric automorphisms will be useful.

This is a joint project with K.Furutani, Yu.Nikonorov, and I.Kath