On selfinjective algebras without short cycles in the component quiver

Maciej Karpicz

Colloquium Mathematicae (2011)

  • Volume: 123, Issue: 2, page 219-232
  • ISSN: 0010-1354

Abstract

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We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.

How to cite

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Maciej Karpicz. "On selfinjective algebras without short cycles in the component quiver." Colloquium Mathematicae 123.2 (2011): 219-232. <http://eudml.org/doc/283945>.

@article{MaciejKarpicz2011,
abstract = {We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.},
author = {Maciej Karpicz},
journal = {Colloquium Mathematicae},
keywords = {self-injective algebras; Nakayama automorphisms; Auslander-Reiten quivers; component quivers; short cycles; orbit algebras; repetitive algebras; tilted algebras; tubular algebras; irreducible morphisms; infinite representation type},
language = {eng},
number = {2},
pages = {219-232},
title = {On selfinjective algebras without short cycles in the component quiver},
url = {http://eudml.org/doc/283945},
volume = {123},
year = {2011},
}

TY - JOUR
AU - Maciej Karpicz
TI - On selfinjective algebras without short cycles in the component quiver
JO - Colloquium Mathematicae
PY - 2011
VL - 123
IS - 2
SP - 219
EP - 232
AB - We give a complete description of all finite-dimensional selfinjective algebras over an algebraically closed field whose component quiver has no short cycles.
LA - eng
KW - self-injective algebras; Nakayama automorphisms; Auslander-Reiten quivers; component quivers; short cycles; orbit algebras; repetitive algebras; tilted algebras; tubular algebras; irreducible morphisms; infinite representation type
UR - http://eudml.org/doc/283945
ER -

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