论文标题

低维复合复合三叠纪代数的分类

Classification of Low-dimensional Complex Triassociative Algebras

论文作者

Mainellis, Erik

论文摘要

该论文涉及协会试验,也称为三叠纪代数,该代数最初是由Loday and Ronco于2001年首次研究的。这些概括了Loday的关联拨号钉(DiaSssopiative代数),并以3个操作和11个身份进行了特征。本文详细介绍了在复杂的矢量空间上的一维和二维三叠纪代数的分类。

The paper concerns associative trialgebras, also known as triassociative algebras, which were first studied by Loday and Ronco in 2001. These generalize Loday's associative dialgebras (diassociative algebras) and are characterized by 3 operations and 11 identities. The paper details the classification of 1-dimensional and 2-dimensional triassociative algebras over a complex vector space.

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