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On some Hall polynomials over a quiver of type ˜D4

Csaba Szántó

Csaba Szántó

Babeş-Bolyai University, Faculty of Mathematics and Computer ScienceCluj-Napoca, Romania
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Szántó, Csaba
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István Szöllősi

István Szöllősi

Babeş-Bolyai University, Faculty of Mathematics and Computer ScienceCluj-Napoca, Romania
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Szöllősi, István
  
Dec 02, 2020
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Published Online: Dec 02, 2020
Page range: 395 - 404
Received: Oct 27, 2020
DOI: https://doi.org/10.2478/ausm-2020-0028
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© 2020 Csaba Szántó et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Let k be an arbitrary field and Q a tame quiver of type ˜D4. Consider the path algebra kQ and the category of finite dimensional right modules mod-kQ. We determine the Hall polynomials Fxyz associated to indecomposable modules of defect ∂z =−2, ∂x = ∂y =−1 or dually ∂z = 2, ∂x = ∂y = 1.

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Mathematics, General Mathematics
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