扭下降代数与Solomon-Tits代数
Twisted descent algebras and the Solomon-Tits algebra
摘要：
本文的目的是定义和研究一类新的下降代数，称之为扭曲下降代数。这些代数与扭曲双代数的Barratt-Joyal理论相关联，其方式与经典下降代数与经典双代数相关联的方式相同。扭下降代数的形式属性似乎特别有意义的应用离散概率，几何的考克斯特群和建筑物，和对称群组合。
英文摘要：
The purpose of the present article is to define and study a new class of descent algebras, called twisted descent algebras. These algebras are associated to the Barratt-Joyal theory of twisted bialgebras in the same way than classical descent algebras are associated to classical bialgebras. The formal properties of twisted descent algebras seem particularly meaningful in view of applications to discrete probabilities, to the geometry of Coxeter groups and buildings, and to symmetric group combinatorics.
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。
