10.9k citations
- University of TorontoCA1.4k papers
- University of ArizonaUS1.4k papers
- University of WashingtonUS1.4k papers
- Centre National de la Recherche ScientifiqueFR1.4k papers
- Lancaster UniversityGB1.4k papers
- Columbia UniversityUS1.4k papers
- Michigan State UniversityUS1.3k papers
- Stony Brook UniversityUS1.3k papers
- McGill UniversityCA1.3k papers
- University of FreiburgDE1.3k papers
- University of MichiganUS1.3k papers
- University of BonnDE1.3k papers
4 papers · 2 filters
Nonstandard Analysis and the sumset phenomenon in arbitrary amenable groups
Mauro Di Nasso, Martino Lupini
Beiglboeck, Bergelson and Fish proved that if subsets A,B of a countable discrete amenable group G have positive Banach densities a and b respectively, then the product set AB is p…
A lift of the Schur and Hall-Littlewood bases to non-commutative symmetric functions
Chris Berg, Nantel Bergeron, Franco Saliola +2
We introduce a new basis of the non-commutative symmetric functions whose commutative images are Schur functions. Dually, we build a basis of the quasi-symmetric functions which ex…
A new `dinv' arising from the two part case of the Shuffle Conjecture
Adrian Duane, Adriano M. Garsia, Mike Zabrocki
In a recent paper J. Haglund showed that a certain symmetric function expresion enumerates by t^{area} q^{dinv} of the parking functions whose diagonal word is in the shuffle of 12…
Hopf monoids from class functions on unitriangular matrices
Marcelo Aguiar, Nantel Bergeron, Nathaniel Thiem
We build, from the collection of all groups of unitriangular matrices, Hopf monoids in Joyal's category of species. Such structure is carried by the collection of class function sp…