4 citations · 10 across the 9 of their papers we have counts for
9 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.
A generic Hopf algebra for quantum statistical mechanics
Allan I. Solomon, Gerard E. H. Duchamp, Pawel Blasiak +2
In this paper, we present a Hopf algebra description of a bosonic quantum model, using the elementary combinatorial elements of Bell and Stirling numbers. Our objective in doing th…
Generalized Bargmann functions, their growth and von Neumann lattices
A. Vourdas, K. A. Penson, G. H. E. Duchamp +1
Generalized Bargmann representations which are based on generalized coherent states are considered. The growth of the corresponding analytic functions in the complex plane is studi…
From Quantum Mechanics to Quantum Field Theory: The Hopf route
Allan I. Solomon, Gérard Henry Edmond Duchamp, Pawel Blasiak +2
We show that the combinatorial numbers known as {\em Bell numbers} are generic in quantum physics. This is because they arise in the procedure known as {\em Normal ordering} of bos…
Combinatorial Algebra for second-quantized Quantum Theory
P. Blasiak, G. H. E. Duchamp, A. I. Solomon +2
We describe an algebra G of diagrams which faithfully gives a diagrammatic representation of the structures of both the Heisenberg-Weyl algebra H - the associative algebra of the c…