140 citations · 1.3k across the 52 of their papers we have counts for
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math-ph2016★ 7 cited
The Onsager algebra and multivariable special functions
Pascal Baseilhac, Luc Vinet, Alexei Zhedanov
Two sets of mutually commuting difference operators and , such that and generate a homomorphic image of the Onsager algebra for each $…
math-ph2016★ 21 cited
Non-Abelian symmetries of the half-infinite XXZ spin chain
Pascal Baseilhac, Samuel Belliard
The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an ana…
math.QA2016
Cyclic tridiagonal pairs, higher order Onsager algebras and orthogonal polynomials
P. Baseilhac, A. M. Gainutdinov, T. T. Vu
The concept of cyclic tridiagonal pairs is introduced, and explicit examples are given. For a fairly general class of cyclic tridiagonal pairs with cyclicity N, we associate a pair…