On additive functions for stable translation quivers
Colloquium Mathematicae (1999)
- Volume: 79, Issue: 2, page 203-210
- ISSN: 0010-1354
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topBobiński, Grzegorz. "On additive functions for stable translation quivers." Colloquium Mathematicae 79.2 (1999): 203-210. <http://eudml.org/doc/210635>.
@article{Bobiński1999,
abstract = {The aim of this note is to give a complete description of the positive additive functions for the stable nonperiodic translation quivers with finitely many orbits. In particular, we show that all positive additive functions on the stable translation quivers of Euclidean type (respectively, of wild type) are periodic, and hence bounded (respectively, are unbounded, and hence nonperiodic).},
author = {Bobiński, Grzegorz},
journal = {Colloquium Mathematicae},
keywords = {additive functions; representations of quivers; dimension vectors; regular representations; Coxeter matrices; Dynkin diagrams; Euclidean diagrams},
language = {eng},
number = {2},
pages = {203-210},
title = {On additive functions for stable translation quivers},
url = {http://eudml.org/doc/210635},
volume = {79},
year = {1999},
}
TY - JOUR
AU - Bobiński, Grzegorz
TI - On additive functions for stable translation quivers
JO - Colloquium Mathematicae
PY - 1999
VL - 79
IS - 2
SP - 203
EP - 210
AB - The aim of this note is to give a complete description of the positive additive functions for the stable nonperiodic translation quivers with finitely many orbits. In particular, we show that all positive additive functions on the stable translation quivers of Euclidean type (respectively, of wild type) are periodic, and hence bounded (respectively, are unbounded, and hence nonperiodic).
LA - eng
KW - additive functions; representations of quivers; dimension vectors; regular representations; Coxeter matrices; Dynkin diagrams; Euclidean diagrams
UR - http://eudml.org/doc/210635
ER -
References
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- [8] Y. Zhang, The modules in any component of the AR-quiver of a wild hereditary artin algebra are uniquely determined by their composition factors, Arch. Math. (Basel) 53 (1989), 250-251 Zbl0651.16013
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