L. Vinet

activity

20192026

E_{6}

symmetry and the Clebsch-Gordan series of

s l (3)

10 citations · 38 across the 24 of their papers we have counts for

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math-ph2026

A discrete Smorodinsky--Winternitz II superintegrable system

Pierre-Antoine Bernard, Vutha Vichhea Chea, Luc Vinet

We construct a discrete Smorodinsky--Winternitz II superintegrable system on a triangular region of the two-dimensional square lattice. The model is built from a pair of commuting…

math-ph2026

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra

Nicolas Crampé, Sarah Post, Luc Vinet

We construct an explicit embedding of the rank two Racah algebra $R_{2}$ into the rank two Jacobi algebra $J_{2}$ . Working in the differential model of $\mathfrak…

math-ph2026

Rational Heun operators on $q$ -linear grids

Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov

Rational Heun operators on the $q -$ linear grid are presented. They are second-order $q -$ difference operators $W_{q}$ constructively defined from the requirement that they have a rais…

A discrete Smorodinsky--Winternitz II superintegrable system

Realization embeddings of the rank two Racah algebra into the rank two Jacobi algebra

Rational Heun operators on q-linear grids

Rational Heun operators on $q$ -linear grids