Additive functions for quivers with relations

• Autorzy: Helmut Lenzing , Idun Reiten
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1999
• Tom: 82
• Numer: 1
• Strony: 85-103

Daty

wydano

1999

otrzymano

1999-03-22

poprawiono

1999-05-06

Twórcy

autor

Helmut Lenzing

• Fachbereich Mathematik-Informatik, Universität-GH Paderborn, D-33095 Paderborn, Germany

autor

Idun Reiten

• Department of Mathematical Sciences, Norwegian University of Science and Technology, N-7491 Trondheim, Norway

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