שלחו לחבר

Wide simple Lie algebras

Seminar
Speaker
Prof. Boris Kunyavski (Bar-Ilan University)
Date
06/03/2019 - 11:30 - 10:30
Place
Third floor seminar room (room 201, building 216)
Abstract

We say that a group G is wide if it contains an element which is not representable 

as a single commutator of elements of G. Recently it was proven that a finite simple 

group cannot be wide, thus confirming a conjecture of Ore of 1950's. On the other hand, 

during the past decades there were discovered several examples of wide infinite simple 

groups. 

 

In a similar vein, we say that a Lie algebra is wide if it contains an element which is not 

representable as a single Lie bracket. A natural question to ask is whether there exist 

wide simple Lie algebras. Our goal is to present first examples of such Lie algebras.

The simplest example relies on a recent work of Billig and Futorny on Lie algebras of vector 

fields on smooth affine varieties.

 

This talk is based on a work in progress, joint with Andriy Regeta.

תאריך עדכון אחרון : 26/01/2019