Lattice structure of torsion classes for path algebras

Iyama, Osamu; Reiten, Idun; Thomas, Hugh et Todorov, Gordana (2015). « Lattice structure of torsion classes for path algebras ». Bulletin of the London Mathematical Society, 47(4), pp. 639-650.

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Résumé

We consider module categories of path algebras of connected acyclic quivers. It is shown in this paper that the set of functorially finite torsion classes form a lattice if and only if the quiver is either Dynkin quiver of type A, D, E, or the quiver has exactly two vertices.

Type:	Article de revue scientifique
Mots-clés ou Sujets:	Combinatorics, Algebraic combinatorics, Combinatorial aspects of representation theory; Order, lattices, ordered algebraic structures, Lattices, Structure theory; Associative rings and algebras, Representation theory of rings and algebras, Representations of quivers and partially ordered sets
Unité d'appartenance:	Faculté des sciences > Département de mathématiques
Déposé par:	Hugh R. Thomas
Date de dépôt:	18 mai 2016 19:50
Dernière modification:	30 mai 2016 20:15
Adresse URL :	http://archipel.uqam.ca/id/eprint/8491

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