Abstract: Pre-Lie and Post-Lie algebras arise in many areas of algebra and geometry, such as left-invariant affine structures on Lie groups, affine crystallographic groups, simply transitive affine actions on Lie groups, convex homogeneous cones, faithful linear representations of Lie algebras, operad theory and several other areas. In this talk we explain why such algebras are useful and how they are used in the areas mentioned above. We present several results and open conjectures concerning the existence of post-Lie algebra structures on a pair of Lie algebras (g,n) over a fixed vector space V. This motivates the study of a new class of Lie algebras, namely disemisimple Lie algebras.
Disemisimple Lie algebras and Pre-Lie and Post-Lie algebra structures
07.11.2023 15:15 - 16:45
Organiser:
I. Fischer, M. Schlosser
Location: