On the representation rings of quivers of exceptional Dynkin type
2008 (English)In: Bulletin des Sciences Mathématiques, ISSN 0007-4497, Vol. 132, no 5, 395-418 p.Article in journal (Refereed) Published
The direct sum and tensor product (defined point-wise and arrow-wise) of representations of a given quiver is encoded in the representation ring of that quiver. We provide methods which reduce the computation of certain parts of the representation ring of a quiver to that of connected subquivers. These methods, combined with known results on the representation rings of quivers of type A and D, and supplemented by certain matrix calculations, yield an explicit description of the representation rings of all quivers of type E-6.
Place, publisher, year, edition, pages
2008. Vol. 132, no 5, 395-418 p.
exceptional Dynkin quivers, quiver representations, tensor product; Clebsch-Gordan problem, representation ring
IdentifiersURN: urn:nbn:se:uu:diva-97102DOI: 10.1016/j.bulsci.2007.11.005ISI: 000257536700003OAI: oai:DiVA.org:uu-97102DiVA: diva2:171896