Regular modules and quasi-lengths over a 3-Kronecker quiver: using Fibonacci numbers |
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Authors: | Bo Chen |
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Institution: | 1. Universit?t zu K?ln, Mathematisches Institut, Weyertal 86-90, 50931, K?ln, Germany
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Abstract: | Let Q be a 3-Kronecker quiver (i.e., two vertices and three arrows having the same starting and ending vertices). The dimension
vectors of the indecomposable regular representations X such that |X| = |τ
i
X| will be studied using the Fibonacci numbers, where |X| denotes the length of X and τ denotes the Auslander–Reiten translation. The quasi-lengths of the indecomposable regular representations with dimension
vectors (m, m) and (2m, m) will also be discussed. |
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Keywords: | |
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