3 citations · 5 across the 8 of their papers we have counts for
8 papers
Trees, set compositions and the twisted descent algebra
Frederic Patras, Manfred Schocker
We first show that increasing trees are in bijection with set compositions, extending simultaneously a recent result on trees due to Tonks and a classical result on increasing bina…
Factorisation of Lie Resolvents
R. M. Bryant, M. Schocker
Let be a group, a field of prime characteristic and a finite-dimensional -module. Let denote the free Lie algebra on , regarded as an -module, and…
The Decomposition of Lie Powers
R. M. Bryant, M. Schocker
Let G be a group, F a field of prime characteristic p and V a finite-dimensional FG-module. Let L(V) denote the free Lie algebra on V regarded as an FG-submodule of the free associ…
The module structure of the Solomon-Tits algebra of the symmetric group
Manfred Schocker
Let be a finite Coxeter system. Tits defined an associative product on the set of simplices of the associated Coxeter complex. The corresponding semigroup algebra is th…
Modular Lie powers and the Solomon descent algebra
Karin Erdmann, Manfred Schocker
Let be an -dimensional vector space over an infinite field of prime characteristic , and let denote the -th homogeneous component of the free Lie algebra…
Twisted descent algebras and the Solomon-Tits algebra
Frederic Patras, Manfred Schocker
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 theor…