45 citations · 343 across the 47 of their papers we have counts for
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Heun operator of Lie type and the modified algebraic Bethe ansatz
Pierre-Antoine Bernard, Nicolas Crampe, Dounia Shaaban Kabakibo +1
The generic Heun operator of Lie type is identified as a certain -Gaudin magnet Hamiltonian in a magnetic field. By using the modified algebraic Bethe ansatz introduced to diag…
The Askey-Wilson algebra and its avatars
Nicolas Crampé, Luc Frappat, Julien Gaboriaud +3
The original Askey-Wilson algebra introduced by Zhedanov encodes the bispectrality properties of the eponym polynomials. The name 'Askey-Wilson algebra' is currently used to refer…
Entanglement of Free Fermions on Hadamard Graphs
Nicolas Crampe, Krystal Guo, Luc Vinet
Free Fermions on vertices of distance-regular graphs are considered. Bipartition are defined by taking as one part all vertices at a given distance from a reference vertex. The gro…
Temperley-Lieb, Birman-Murakami-Wenzl and Askey-Wilson algebras and other centralizers of
Nicolas Crampé, Luc Vinet, Meri Zaimi
The centralizer of the image of the diagonal embedding of in the tensor product of three irreducible representations is examined in a Schur-Weyl duality spir…
New realizations of algebras of the Askey-Wilson type in terms of Lie and quantum algebras
Nicolas Crampe, Dounia Shaaban Kabakibo, Luc Vinet
The Askey-Wilson algebra is realized in terms of the elements of the quantum algebras or . A new realization of the Racah algebra i…
Baxterisation of the fused Hecke algebra and R-matrices with gl(N)-symmetry
N. Crampe, L. Poulain d'Andecy
We give an explicit Baxterisation formula for the fused Hecke algebra and its classical limit for the algebra of fused permutations. These algebras replace the Hecke algebra and th…
The Heun-Racah and Heun-Bannai-Ito algebras
Geoffroy Bergeron, Nicolas Crampé, Satoshi Tsujimoto +2
This paper introduces and studies the Heun-Racah and Heun-Bannai-Ito algebras abstractly and establishes the relation between these new algebraic structures and generalized Heun-ty…
Fused braids and centralisers of tensor representations of
N. Crampe, L. Poulain d'Andecy
We present in this paper the algebra of fused permutations and its deformation the fused Hecke algebra. The first one is defined on a set of combinatorial objects that we call fuse…