133 citations · 1.4k across the 77 of their papers we have counts for
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Relativistic wave equations of n-body systems of fermions and antifermions of various masses in quantum electrodynamics
Mohsen Emami-Razavi, Nantel Bergeron, Jurij W. Darewych
The variational method in a reformulated Hamiltonian formalism of Quantum Electrodynamics is used to derive relativistic wave equations for systems consisting of n fermions and ant…
Fomin-Greene monoids and Pieri operations
Carolina Benedetti, Nantel Bergeron
We explore monoids generated by operators on certain infinite partial orders. Our starting point is the work of Fomin and Greene on monoids satisfying the relations $(ur+\u{r+1})\u…
The Pieri rule for dual immaculate quasi-symmetric functions
Nantel Bergeron, Juana Sánchez-Ortega, Mike Zabrocki
The immaculate basis of the non-commutative symmetric functions was recently introduced by the first and third author to lift certain structures in the symmetric functions to the d…
Multiplicative structures of the immaculate basis of non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We continue our development of a new basis for the algebra of non-commutative symmetric functions. This basis is analogous to the Schur basis for the algebra of symmetric functions…
Indecomposable modules for the dual immaculate basis of quasi-symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We construct indecomposable modules for the 0-Hecke algebra whose characteristics are the dual immaculate basis of the quasi-symmetric functions.
The immaculate basis of the non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
FPSAC 2013 Extended Abstract. We introduce a new basis of the non-commutative symmetric functions whose elements have Schur functions as their commutative images. Dually, we build…
Antipode and Primitive elements in the Hopf Monoid of Super Characters
Duff Baker-Jarvis, Nantel Bergeron, Nathaniel Thiem
From a recent paper, we recall the Hopf monoid structure on the supercharacters of the unipotent uppertriangular groups over a finite field. We give cancelation free formula for th…