AR-components for generalized Beilinson algebras

2014/01/23 by Julia Worch, Worch, Julia
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #math.RT #msc:16G20 #msc:16G70 #msc:16S37 #msc:16S90

paper · pdf · doi:10.48550/arxiv.1401.5947

arxiv created 2014/01/23 · arxiv updated 2014/01/24

Abstract

We show that the generalized W-modules defined in a foregoing paper determine ZA_∞- components in the Auslander-Reiten quiver Γ(n,r) of the generalized Beilinson algebra B(n,r), n ≥ 3. These components entirely consist of modules with the constant Jordan type property. We arrive at this result by interpreting B(n,r) as an iterated one-point extension of the r-Kronecker algebra K_r which enables us to generalize findings concerning the Auslander-Reiten quiver Γ(K_r) presented in earlier work to B(n,r).

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