Publications (9)
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…
A Calabi-Yau algebra with symmetry and the Clebsch-Gordan series of
N. Crampe, L. Poulain d'Andecy, L. Vinet
Building on classical invariant theory, it is observed that the polarised traces generate the centraliser of the diagonal embedding of in $U(sl(N))^{\otimes…
Time and band limiting operator and Bethe ansatz
P. -A. Bernard, N. Crampe, L. Vinet
The time and band limiting operator is introduced to optimize the reconstruction of a signal from only a partial part of its spectrum. In the discrete case, this operator commutes…
On the relation between vertex operators and -zonal functions
A. H. Bougourzi, L. Vinet
We show how the states constructed from the action of the modes of bosonized vertex operators, that intertwine modules, are related to -zonal functions.
Supersymmetric Quantum Mechanics with Reflections
S. Post, L. Vinet, A. Zhedanov
We consider a realization of supersymmetric quantum mechanics where supercharges are differential-difference operators with reflections. A supersymmetric system with an extended Sc…
Bivariate -polynomial association schemes
P. -A. Bernard, N. Crampe, L. Poulain d'Andecy +2
Bivariate P-polynomial association scheme of type are defined as a generalization of the P-polynomial association schemes. This generalization is shown to be equivalent t…