Thesis supervisor: Alice Fialowski
Location of studies (in Hungarian): "ELTE TTK Matematikai Intézet PTE TTK Matematikai és Informatikai Intézet" Abbreviation of location of studies: PTE
Description of the research topic:
It is a new area of associating a Lie group to a Dynkin diagram motivated by operations, arising in the theory of planar networks. So far only the case of the maximal nilpotent subalgebra of A(2n) is studied (Lam, Pylyavsky, Algebra and Number theory 2015), but other cases are not touched yet. I have some related results in infinite dimension and it turns out that deformation may help in understanding electrical Lie algebras. So far deforming the Serre relations is used, which leads to special deformations.
Required language skills: angol Further requirements: Absztrakt algebra, Lie elmélet elemei