English

A Chebycheff recursion formula for Coxeter polynomials

Representation Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0611535,
  title  = {A Chebycheff recursion formula for Coxeter polynomials},
  author = {Helmut Lenzing and José Antonio de la Peña},
  journal= {arXiv preprint arXiv:math/0611535},
  year   = {2007}
}

Comments

13 pages