CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Completeness of the Bethe Ansatz for an open q-boson system with integrable boundary interactions
Autor/es:
EMSIZ, ERDAL; VAN DIEJEN, JAN FELIPE; ZURRIÁN, IGNACIO
Lugar:
Berkeley
Reunión:
Seminario; Special Analysis Seminar; 2019
Institución organizadora:
UC Berkeley
Resumen:
We employ a discrete integral-reflection representation of the double affine Hecke algebra of type C\vee C at the critical level q = 1, to endow the open finite q- boson system with integrable boundary interactions at the lattice ends. It is shown that the Bethe Ansatz entails a complete basis of eigenfunctions for thecommuting quantum integrals in terms of Macdonald's three-parameter hyperoctahedral Hall-Littlewood polynomials.