8 citations · 16 across the 7 of their papers we have counts for
7 papers
Heisenberg-Weyl algebra revisited: Combinatorics of words and paths
P. Blasiak, A. Horzela, G. H. E. Duchamp +2
The Heisenberg-Weyl algebra, which underlies virtually all physical representations of Quantum Theory, is considered from the combinatorial point of view. We provide a concrete mod…
Hopf Algebras of Graphs
Jean-Christophe Novelli, Jean-Yves Thibon, Nicolas M. Thiéry
We define graded Hopf algebras with bases labeled by various types of graphs and hypergraphs, provided with natural embeddings into an algebra of polynomials in infinitely many var…
Deformation of symmetric functions and the rational Steenrod algebra
Florent Hivert, Nicolas M. Thiéry
In 1999, Reg Wood conjectured that the quotient of Q[x_1,...,x_n] by the action of the rational Steenrod algebra is a graded regular representation of the symmetric group S_n. As p…
An Orlik-Solomon type algebra for matroids with a fixed linear class of circuits
Raul Cordovil, David Forge
A family C of circuits of a matroid M is a linear class if, given a modular pair of circuits in C}, any circuit contained in the union of the pair is also in C. The pair (M,C) can…
Explicit non-algebraic limit cycles for polynomial systems
Armengol Gasull, Hector Giacomini, Joan Torregrosa
We consider a system of the form x'=P_n(x,y)+xR_m(x,y), y'=Q_n(x,y)+yR_m(x,y), where P_n(x,y), Q_n(x,y) and R_m(x,y) are homogeneous polynomials of degrees n, n and m, respectively…
A product formula and combinatorial field theory
A. Horzela, P. Blasiak, G. H. E. Duchamp +2
We treat the problem of normally ordering expressions involving the standard boson operators a, a* where [a,a*]=1. We show that a simple product formula for formal power series - e…