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ArticleOriginal scientific text

Title

Additive functions for quivers with relations

Authors 1, 2

Affiliations

  1. Fachbereich Mathematik-Informatik, Universität-GH Paderborn, D-33095 Paderborn, Germany
  2. Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

Abstract

Additive functions for quivers with relations extend the classical concept of additive functions for graphs. It is shown that the concept, recently introduced by T. Hübner in a special context, can be defined for different homological levels. The existence of such functions for level 2 resp. ∞ relates to a nonzero radical of the Tits resp. Euler form. We derive the existence of nonnegative additive functions from a family of stable tubes which stay tubes in the derived category, we investigate when this situation does appear and we study the restrictions imposed by the existence of a positive additive function.

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Colloquium Mathematicum
1999/82/1
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Pages:
85-103
Main language of publication
English
Received
1999-03-22
Accepted
1999-05-06
Published
1999
Exact and natural sciences