LSU
Mathematics

# Calendar

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Tomorrow, Tuesday, January 22, 2019

Posted November 3, 2018

3:10 pm - 4:00 pm 114 Lockett

Ignacio Nahuel Zurrian, Universidad Nacional de Cordoba (National University of Cordoba)
Completeness of the Bethe Ansatz for an open qq-boson system with integrable boundary interactions

We employ a discrete integral-reflection representation of the double affine Hecke algebra of type $C^V$$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 the commuting quantum integrals in terms of Macdonald's three-parameter hyproctahedral Hall-Littlewood polynomials. This is a joint work with J.F. van Diejen and E. Emsiz.

Wednesday, January 23, 2019

Posted January 11, 2019