论文标题
双齿在共同插入中
Bialgebras in cointeraction, the antipode and the eulerian idempotent
论文作者
论文摘要
我们在这里回顾了有关双重双重骨的结果，也就是说，两种相关的双子骨，第一个是第二个造成的共同行为的综合形态。在连接的双子骨的情况下提出了口音。这些结果的主题是字符及其作用，多项式不变的，反座和Eulerian Idempotent的主体。作为示例，它们被应用于图形的双重双重性和quasishuffle bialgebras上。这包括一个新证明，证明了由于格林和扎斯拉夫斯基而引起的色彩多项式系数的组合解释。
We give here a review of results about double bialgebras, that is to say bialgebras with two coproducts, the first one being a comodule morphism for the coaction induced by the second one. An accent is put on the case of connected bialgebras. The subjects of these results are the monoid of characters and their actions, polynomial invariants, the antipode and the eulerian idempotent. As examples, they are applied on a double bialgebra of graphs and on quasishuffle bialgebras. This includes a new proof of a combinatorial interpretation of the coefficients of the chromatic polynomial due to Greene and Zaslavsky.
