166 citations
- Université de ToursFR468 papers
- Université d'OrléansFR393 papers
- Centre National de la Recherche ScientifiqueFR267 papers
- Laboratoire de Mathématiques et Physique ThéoriqueFR50 papers
- Idiap Research InstituteCH42 papers
- Far Eastern Federal UniversityRU38 papers
- Université de MontréalCA33 papers
- Centre de recherches mathématiquesCA26 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR19 papers
- Sorbonne UniversitéFR19 papers
- West University of TimişoaraRO19 papers
- Kyoto UniversityJP17 papers
38 papers · 1 filter
Modified rational six vertex model on a rectangular lattice : new formula, homogeneous and thermodynamic limits
Matthieu Cornillault, Samuel Belliard
We continue the work of Belliard, Pimenta and Slavnov (2024) studying the modified rational six vertex model. We find another formula of the partition function for the inhomogeneou…
Enlargement of symmetry groups in physics: a practitioner's guide
Lehel Csillag, Julio Marny Hoff da Silva, Tudor Patuleanu
Wigner's classification has led to the insight that projective unitary representations play a prominent role in quantum mechanics. The physics literature often states that the theo…
-deformed Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +1
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R.…
-Griffiths polynomials: Bispectrality and biorthogonality
N. Crampe, L. Frappat, J. Gaboriaud +3
We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter . These -Griffiths polynomials are bivariate, bispectral and biorthogona…
Superspace realizations of the Bannai-Ito algebra
N. Crampe, H. De Bie, P. Iliev +1
A model of the Bannai-Ito algebra in a superspace is introduced. It is obtained from the three-fold tensor product of the basic realization of the Lie superalgebra in te…
Bethe ansatz diagonalization of the Heun-Racah operator
Pierre-Antoine Bernard, Gauvain Carcone, Nicolas Crampe +1
The Heun-Racah operator is diagonalized with the help of the modified algebraic Bethe ansatz. This operator is the most general bilinear expression in two generators of the Racah a…