论文标题
对辫子的连贯的单位行动和霍普夫代数
Coherent unit actions on braided operads and Hopf algebras
论文作者
论文摘要
Loday首先提出了对代数式竞争的相干单位作用的概念，该概念是针对二元二元二元非对称式手术的，并由Holtkamp概括，以确保作战的自由物体具有HOPF代数结构。在二元二元非对称病例中，此类作战也有分类。我们将连贯的单位行动的概念推广到编织的作业，并表明用这种动作的编织式武器的免费物体带有编织的Hopf代数结构。在二进制，二次和非对称的条件下，我们对编织的作战进行了表征和分类，这些作业允许连贯的单位动作，从而在其自由物体上携带编织的Hopf代数结构。
The notion of a coherent unit action on algebraic operads was first introduced by Loday for binary quadratic nonsymmetric operads and generalized by Holtkamp, to ensure that the free objects of the operads carry a Hopf algebra structure. There was also a classification of such operads in the binary quadratic nonsymmetric case. We generalize the notion of coherent unit action to braided operads and show that free objects of braided operads with such an action carries a braided Hopf algebra structure. Under the conditions of binary, quadratic and nonsymmetric, we give a characterization and classification of the braided operads that allow a coherent unit action and thus carry a braided Hopf algebra structure on their free objects.
