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Jose Antonio de la Peña: Measuring the Coxeter polynomial of an algebra.

Given a polynomial p(T) there are several measures associated to the absolute value of its eigenvalues $\mu_1,...,\mu_n$. For instance, the {\em spectral radius} which is the maximal $|\mu_i|$, the {\em energy} which is $\sum_{i=1}^n |\mu_i|$ and the {\em Mahler measure} $\prod_{i=1}^n {\rm max}{1, |\mu_i|}$. We will explain some aspects of these measures when considered for the {\em Coxeter polynomial} of a finite dimensional algebra.

Cuándo 19/01/2013
de 11:15 a 12:15
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