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 2009Show all

3 papers · 1 filter

math.RA2009★ 1 cited

Non-commutative Combinatorial Inverse Systems

J. -C. Aval, N. Bergeron, H. Li

We introduce the notion of a combinatorial inverse system in non-commutative variables. We present two important examples, some conjectures and results. These conjectures and resul…

math.CO2009★ 5 cited

Basis of Diagonally Alternating Harmonic Polynomials for low degree

Nantel Bergeron, Zhi Chen

Given a list of $n$ cells $L = [(p_{1}, q_{1}), ..., (p_{n}, q_{n})]$ where $p_{i}, q_{i} \in Z_{\geq 0}$ , we let $Δ_{L} = det ∣ (p_{j}!)^{- 1} (q_{j}!)^{- 1} x_{i}^{p_{j}} y_{i}^{q_{j}} ∣$ . The space of diag…

math.CO2009★ 17 cited

Combinatorial Hopf algebras and Towers of Algebras - Dimension, Quantization, and Functoriality

Nantel Bergeron, Thomas Lam, Huilan Li

Bergeron and Li have introduced a set of axioms which guarantee that the Grothendieck groups of a tower of algebras $⨁_{n \geq 0} A_{n}$ can be endowed with the structure of grad…