N. Crampé

activity

20182026

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3 papers · 1 filter

math.CO2024

Bivariate $P$ - and $Q$ -polynomial structures of the association schemes based on attenuated spaces

Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2

The bivariate $P$ - and $Q$ -polynomial structures of association schemes based on attenuated spaces are examined using recurrence and difference relations of the bivariate polynomia…

math.CO2023

m-distance-regular graphs and their relation to multivariate P-polynomial association schemes

Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet +2

An association scheme is $P$ -polynomial if and only if it consists of the distance matrices of a distance-regular graph. Recently, bivariate $P$ -polynomial association schemes of t…

math.CO2021

The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and $U_{q} (s l_{2})$

Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet

The adjacency matrix of a symplectic dual polar graph restricted to the eigenspaces of an abelian automorphism subgroup is shown to act as the adjacency matrix of a weighted subspa…

Bivariate P- and Q-polynomial structures of the association schemes based on attenuated spaces

m-distance-regular graphs and their relation to multivariate P-polynomial association schemes

The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and Uq​(sl2​)

Bivariate $P$ - and $Q$ -polynomial structures of the association schemes based on attenuated spaces

The Terwilliger algebra of symplectic dual polar graphs, the subspace lattices and $U_{q} (s l_{2})$