6 citations · 20 across the 13 of their papers we have counts for
13 papers
Elementary methods for splitting representations of Rook monoids: a gentle introduction to groupoids
Gérard Henry Edmond Duchamp, Joseph Ben Geloun, Christophe Tollu
We show that the algebra of the coloured rook monoid , {\em i.e.} the monoid of matrices with at most one non-zero entry (an -th root of unity) in each c…
About enveloping algebras of direct sums
Gérard Henry Edmond Duchamp, Christophe Tollu, Jean-Gabriel Luque +1
We solve the PBW-like problem of normal ordering for enveloping algebras of direct sums.
The mechanics of shuffle products and their siblings
Jean-Yves Enjalbert, Vincel Hoang, Gérard H. E. Duchamp +1
We carry on the investigation initiated in [15] : we describe new shuffle products coming from some special functions and group them, along with other products encountered in the l…
(Pure) transcendence bases in -deformed shuffle bialgebras
Van Chiên Bui, Gérard H. E. Duchamp, Quoc Hoan Ngô +2
Computations with integro-differential operators are often carried out in an associative algebra with unit, and they are essentially non-commutative computations. By adjoining a co…
Dendriform structures for restriction-deletion and restriction-contraction matroid Hopf algebras
N. Hoang-Nghia, A. Tanasa, C. Tollu
We endow the set of isomorphic classes of matroids with a new Hopf algebra structure, in which the coproduct is implemented via the combinatorial operations of restriction and dele…
Dual bases for non commutative symmetric and quasi-symmetric functions via monoidal factorization
Gérard Henry Edmond Duchamp, Ladji Kane, Vincel Hoang Ngoc Minh +1
In this work, an effective construction, via Schützenberger's monoidal factorization, of dual bases for the non commutative symmetric and quasi-symmetric functions is proposed.