On some Hall polynomials over a quiver of type ˜D4

Csaba Szántó; István Szöllősi

doi:10.2478/ausm-2020-0028

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On some Hall polynomials over a quiver of type ˜D4

Acta Universitatis Sapientiae, Mathematica

Volume 12 (2020): Issue 2 (November 2020)

By: Csaba Szántó and István Szöllősi

Open Access

|Dec 2020

Abstract

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 F_xy^z associated to indecomposable modules of defect ∂z =−2, ∂x = ∂y =−1 or dually ∂z = 2, ∂x = ∂y = 1.

References

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Articles in this issue

DOI: https://doi.org/10.2478/ausm-2020-0028 | Journal eISSN: 2066-7752

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Language: English

Page range: 395 - 404

Submitted on: Oct 27, 2020

Published online: Dec 2, 2020

Published in print: Nov 1, 2020

Published by: Sapientia Hungarian University of Transylvania

In partnership with: Paradigm Publishing Services

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© 2020 Csaba Szántó, István Szöllősi, published by Sapientia Hungarian University of Transylvania
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 12 (2020): Issue 2 (November 2020)