关于由Baxter算子构造的几个值得注意的算子
On some remarkable operads constructed from Baxter operators
摘要:
语言理论、符号动力学、病毒插入宿主细胞的遗传码的模型化,促使引入新类型的双代数,其余代数部分不一定是共结合的。本文的目的之一是研究什么类型的(结合)代数(从而二进制二次和非对称运算)出现时,这样或这样的coalgebraic结构被用来decribe例如组合对象,如加权有向图,树,替代等。
英文摘要:
Language theory, symbolic dynamics, modelisation of viral insertion into the genetic code of a host cell motivate the introduction of new types of bialgebras whose coalgebra parts are not necessarily coassociative. One of the aim of this article is to study what type of (associative) algebras (and thus binary quadratic and non-symmetric operads) appear when such or such coalgebraic structures are used to decribe for instance combinatorial objects such as weighted directed graphs, trees, substitutions and so forth.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。