Special Issue on Representation Theory and Its ApplicationsNo Access

SOLUTION TO THE CLEBSCH–GORDAN PROBLEM FOR REPRESENTATIONS OF QUIVERS OF TYPE

MARTIN HERSCHEND

Department of Mathematics, Uppsala University, Box 480, SE-751 06 Uppsala, Sweden

https://doi.org/10.1142/S0219498805001332Cited by:7 (Source: Crossref)

Abstract

We solve the Clebsch–Gordan problem for rep_𝕂 Q (i.e. we describe the Krull–Schmidt decomposition of A ⊗ B for all A, B ∈ rep_𝕂 Q) in case 𝕂 is an algebraically closed field of characteristic 0 and Q is a quiver of type . The underlying tensor product is defined point-wise and arrow-wise.

Keywords:

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