2 papers
math.RT2008
Coxeter Elements and Root Bases
Alexander Kirillov, Jaimal Thind
Let g be a Lie algebra of type A,D,E with fixed Cartan subalgebra h, root system R and Weyl group W. We show that a choice of Coxeter element C gives a root basis for g. Moreover w…
math.RT2007
Coxeter Elements and Periodic Auslander-Reiten Quiver
Alexander Kirillov, Jaimal Thind
In this paper we show that for a simply-laced root system a choice of gives rise to a natural construction of the Dynkin diagram, in which vertices of the diagram correspond to…