N. Bergeron

activity

19972026

most citedCombinatorial Hopf algebras and generalized Dehn-Sommerville relations

133 citations · 1.4k across the 77 of their papers we have counts for

collaborators

Showing 2011Show all

3 papers · 1 filter

math.RT2011★ 17 cited

A supercharacter table decomposition via power-sum symmetric functions

Nantel Bergeron, Nathaniel Thiem

We give an $A B$ -factorization of the supercharacter table of the group of $n \times n$ unipotent upper triangular matrices over $\FF_q$, where $A$ is a lower-triangular matrix with…

math.CO2011★ 3 cited

Expansions of $k$ -Schur functions in the affine nilCoxeter algebra

Chris Berg, Nantel Bergeron, Steven Pon +1

We give a type free formula for the expansion of k-Schur functions indexed by fundamental coweights within the affine nilCoxeter algebra. Explicit combinatorics are developed in af…

math.CO2011★ 16 cited

Expansion of $k$ -Schur functions for maximal $k$ -rectangles within the affine nilCoxeter algebra

Chris Berg, Nantel Bergeron, Hugh Thomas +1

We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra…

A supercharacter table decomposition via power-sum symmetric functions

Expansions of k-Schur functions in the affine nilCoxeter algebra

Expansion of k-Schur functions for maximal k-rectangles within the affine nilCoxeter algebra

Expansions of $k$ -Schur functions in the affine nilCoxeter algebra

Expansion of $k$ -Schur functions for maximal $k$ -rectangles within the affine nilCoxeter algebra