关于~ D4型颤振上的一些霍尔多项式

Pub Date : 2020-11-01 DOI:10.2478/ausm-2020-0028

Csaba Szántó, I. Szöllősi

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引用次数: 0

摘要

设k为任意场，Q为~ D4型的驯服颤振。考虑路径代数kQ和有限维右模模的范畴-kQ。我们确定了与缺陷∂z =−2，∂x =∂y =−1或双∂z = 2，∂x =∂y = 1的不可分解模块相关的霍尔多项式Fxyz。

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On some Hall polynomials over a quiver of type ˜D4

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.

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