Tree modules of the generalized Kronecker quiver

Details Tree modules of the generalized Kronecker quiver Tree modules of the generalized Kronecker quiver

2009-01-13

arxiv.org/abs/0901.1780v1

Mathematics

Representation Theory

39 pages

Scientific paper

For coprime dimension vectors certain torus fixed points of the Kronecker moduli space are indecomposable tree modules. They are indecomposable representations of the regular m-tree and can be glued in order to get stable torus fixed point for every coprime dimension vector. Using their stability and the reflection functor we show that for arbitrary roots there exist indecomposable tree modules of the Kronecker quiver as factor modules of these torus fixed points.

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