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.

Item Type: | Article |
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Uncontrolled Keywords: | Coxeter transformation, spectral radius, Coxeter polynomial. |

Subjects: | Q Science / termĂ©szettudomĂˇny > QA Mathematics / matematika > QA72 Algebra / algebra |

SWORD Depositor: | MTMT SWORD |

Depositing User: | MTMT SWORD |

Date Deposited: | 10 Mar 2014 10:03 |

Last Modified: | 10 Mar 2014 10:03 |

URI: | http://real.mtak.hu/id/eprint/10763 |

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