14 papers
Entanglement of Free Fermions on Hamming Graphs
Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet
Free fermions on Hamming graphs are considered and the entanglement entropy for two types of subsystems is computed. For subsets of vertices that form Hamming subgraphs, a…
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…
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…
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…
Racah problems for the oscillator algebra, the Lie algebra , and multivariate Krawtchouk polynomials
Nicolas Crampé, Wouter van de Vijver, Luc Vinet
The oscillator Racah algebra is realized by the intermediate Casimir operators arising in the multifold tensor product of the oscillator algebra $\mat…
Revisiting the Askey--Wilson algebra with the universal R-matrix of
Nicolas Crampe, Julien Gaboriaud, Luc Vinet +1
A description of the embedding of the universal Askey--Wilson algebra, AW(3), in is given in terms of the universal R-matrix of . The generators…