42 citations · 206 across the 23 of their papers we have counts for
Showing math.RTShow all
3 papers · 1 filter
math.RT2014
Characteristic and Coxeter polynomials for affine Lie algebras
Pantelis A. Damianou, Charalampos A. Evripidou
We compute the characteristic polynomials of affine Cartan, adjacency matrices and Coxeter polynomials of the associated Coxeter system using Chebyshev polynomials. We give explici…
math.RT2011★ 3 cited
On the characteristic polynomial of Cartan matrices and Chebyshev polynomials
Pantelis A. Damianou
We explore some interesting features of the characteristic polynomial of the Cartan matrix of a simple Lie algebra. The characteristic polynomial is closely related with the Chebys…
math.RT2006★ 2 cited
Transverse Poisson Structures to Adjoint orbits in semi-simple Lie algebras
Pantelis A. Damianou, Herve Sabourin, Pol Vanhaecke
We study the transverse Poisson structure to adjoint orbits in a complex semi-simple Lie algebra. The problem is first reduced to the case of nilpotent orbits. We prove then that i…