ODT - THESIS TOPIC: Alice Fialowski: Electrical Lie algebras


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Thesis topic proposal

Electrical Lie algebras

THESIS TOPIC PROPOSAL

Institute: Eötvös Loránd University, Budapest
mathematics and computing
Doctoral School of Mathematics

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

Number of students who can be accepted: 2

Deadline for application: 2016-05-31

2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).