On the representation ring of a quiver
2009 (English)In: Algebras and Representation Theory, ISSN 1386-923X, E-ISSN 1572-9079, Vol. 12, no 6, 513-541 p.Article in journal (Refereed) Published
The Clebsch-Gordan problem for quiver representations is the problem of decomposing the tensor product of any two representations of a quiver, where the tensor product is defined point-wise and arrow-wise. We introduce the so-called characteristic representations and decompose their tensor product. This is then applied to solve the Clebsch-Gordan problem for quivers of type A(n) and D-n. In both cases we also provide an explicit description of the representation ring.
Place, publisher, year, edition, pages
2009. Vol. 12, no 6, 513-541 p.
Dynkin quivers, Quiver representations, Tensor product, Clebsch-Gordan problem, Representation ring
IdentifiersURN: urn:nbn:se:uu:diva-97101DOI: 10.1007/s10468-008-9118-1ISI: 000271527000002OAI: oai:DiVA.org:uu-97101DiVA: diva2:171895