论文标题

多个共轭量和增强MCQ Alexander Pairs的仿射扩展

Affine extensions of multiple conjugation quandles and augmented MCQ Alexander pairs

论文作者

Murao, Tomo

论文摘要

多个共轭量是一个代数,其公理是由手柄结理论激励的。可以使用称为MCQ Alexander Pair的两对图来描述多个共轭量的任何线性扩展。在本文中,我们表明,可以使用四倍的地图(称为增强的MCQ Alexander Pair)来描述多个共轭量的任何仿射扩展。

A multiple conjugation quandle is an algebra whose axioms are motivated from handlebody-knot theory. Any linear extension of a multiple conjugation quandle can be described by using a pair of maps called an MCQ Alexander pair. In this paper, we show that any affine extension of a multiple conjugation quandle can be described by using a quadruple of maps, called an augmented MCQ Alexander pair.

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