A Chebycheff recursion formula for Coxeter polynomials

2006/11/17 by Lenzing, Helmut, de la Peña, José Antonio · 2 citations
#16G20 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0611535

Abstract

We investigate the spectral properties of a new class of finite dimensional algebras, called extended canonical. In particular, we show that at most four eigenvalues of the Coxeter transformation may lie outside the unit circle.

Cited by

• On the global dimension and Koszul property for preprojective algebras
• On the coefficients of Coxeter polynomials of trees and bipartite quivers

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