INVESTIGADORES
TREPODE Sonia Elisabet
artículos
Título:
m-cluster tilted algebras of euclidean type
Autor/es:
FERNÁNDEZ, ELSA; GARCÍA ELSENER, ANA; TREPODE, SONIA
Revista:
JOURNAL OF ALGEBRA
Editorial:
ACADEMIC PRESS INC ELSEVIER SCIENCE
Referencias:
Lugar: Amsterdam; Año: 2019 vol. 519 p. 378 - 397
ISSN:
0021-8693
Resumen:
We consider m-cluster tilted algebras arising from quivers of Euclidean typeand we give necessary and sucient conditions for those algebras to be representation nite.For the case ~A, using the geometric realization, we get a description of representation nitetype in terms of (m + 2)-angulations. We establish which m-cluster tilted algebras arise atthe same time from quivers of type ~A and A. Finally, we characterize representation innitem-cluster tilted algebras arising from a quiver of type ~A, as m-relations extensions of someiterated tilted algebra of type ~A.
