On spectral radius of Coxeter transformation of trees

Lakatos, Piroska (1999) On spectral radius of Coxeter transformation of trees. PUBLICATIONES MATHEMATICAE-DEBRECEN, 54 (1). pp. 181-187. ISSN 0033-3883

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Abstract

The spectral radius of a Coxeter transformation which plays an important role in the representation theory of hereditary algebras (see [DR]), is its important invariant. This paper provides both upper and lower bounds for the spectral radii of Coxeter transformations of the wild stars (i.e. the trees that have a single branching point and are neither of Dynkin nor of Euclidean type). In addition, the paper determines limit of the spectral radii of particular infinite sequences of wild stars.

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