Details

Autor(en) / Beteiligte

• Assem, Ibrahim
• Dupont, Grégoire
• Schiffler, Ralf

Titel

On a category of cluster algebras

Ist Teil von

• Journal of pure and applied algebra, 2014-03, Vol.218 (3), p.553-582

Ort / Verlag

Elsevier B.V

Erscheinungsjahr

2014

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• We introduce a category of cluster algebras with fixed initial seeds. This category has countable coproducts, which can be constructed combinatorially, but no products. We characterise isomorphisms and monomorphisms in this category and provide combinatorial methods for constructing special classes of monomorphisms and epimorphisms. In the case of cluster algebras from surfaces, we describe interactions between this category and the geometry of the surfaces.