Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Galois coverings and the Clebsch-Gordan problem for quiver representations

100%

Herschend M.

Colloquium Mathematicum

2007

tom 109

nr 2

193-215

We study the Clebsch-Gordan problem for quiver representations, i.e. the problem of decomposing the point-wise tensor product of any two representations of a quiver into its indecomposable direct summands. For this purpose we develop results describing the behaviour of the point-wise tensor product under Galois coverings. These are applied to solve the Clebsch-Gordan problem for the double loop quivers with relations αβ = βα = αⁿ = βⁿ = 0. These quivers were originally studied by I. M. Gelfand and V. A. Ponomarev in their investigation of representations of the Lorentz group. We also solve the Clebsch-Gordan problem for all quivers of type 𝔸̃ₙ.

Ograniczanie wyników

1 Colloquium Mathematicum

1 Herschend M.

1 2007

Wyniki wyszukiwania

Galois coverings and the Clebsch-Gordan problem for quiver representations