<abstract xmlns="http://www.w3.org/1999/xhtml">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<italic>xyz</italic> associated to indecomposable modules of defect ∂z =−2, ∂x = ∂y =−1 or dually ∂z = 2, ∂x = ∂y = 1.</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 Fxyz associated to indecomposable modules of defect ∂z =−2, ∂x = ∂y =−1 or dually ∂z = 2, ∂x = ∂y = 1.

On some Hall polynomials over a quiver of type ˜D4

Faculty of Mathematics and Computer Science

Acta Universitatis Sapientiae, Mathematica

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some Hall polynomials over a quiver of type ˜D

{"article-title":{"sub":4,"content":"On some Hall polynomials over a quiver of type ˜D"}}

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...

On some Hall polynomials over a quiver of type ˜D₄

Published Online: Dec 02, 2020

Page range: 395 - 404

Received: Oct 27, 2020

DOI: https://doi.org/10.2478/ausm-2020-0028

Keywords
tame quiver, Hall polynomial

© 2020 Csaba Szántó et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some Hall polynomials over a quiver of type ˜D4

Published Online: Dec 02, 2020

Page range: 395 - 404

Received: Oct 27, 2020

DOI: https://doi.org/10.2478/ausm-2020-0028

Keywordstame quiver, Hall polynomial

© 2020 Csaba Szántó et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

On some Hall polynomials over a quiver of type ˜D₄

Keywords
tame quiver, Hall polynomial