Twisted descent algebras and the Solomon-Tits algebra

Abstract : 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.
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00128596
Contributor : Import Arxiv <>
Submitted on : Thursday, February 1, 2007 - 9:24:06 PM
Last modification on : Friday, January 12, 2018 - 1:51:01 AM

Links full text

Identifiers

Collections

Citation

Frederic Patras, Manfred Schocker. Twisted descent algebras and the Solomon-Tits algebra. Advances in Mathematics, Elsevier, 2006, 199, pp.151-184. 〈hal-00128596〉

Share

Metrics

Record views

108