Maps Between Representations of Clans

✍ Scribed by Christof Geiß

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 248 KB
• Volume: 218
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1006/jabr.1998.7829

✦ Synopsis

We give a description of the homomorphisms between representations of a clan Ž Ž . . see Crawley-Boevey, J. London Math. Soc. 40 1989 , 9᎐30 , more or less as it was Ž Ž . . done by Krause J. Algebra 137 1991 , 186᎐194 for string-algebras. As a consequence of our findings we can establish the irreducibility of all maps which are expected to be so. This allows us, after defining a natural exact structure on the category of representations, to calculate in many situations Auslander᎐Reiten sequences like in the string-algebra case.