Geometry Seminar - Abstracts


26 February 2016, 16:00 - 17:00, in HG00.310
Jan Felipe van Diejen (Universidad de Talca, Chile)
Bethe Ansatz for a finite q-boson system with boundary interactions


We construct an orthogonal basis of algebraic Bethe Ansatz eigenfunctions for a finite q-boson system endowed with diagonal open-end boundary interactions. Via a continuum limit, this allows to verify the orthogonality of the Bethe Ansatz eigenfunctions for the Laplacian on a hyperoctahedral Weyl alcove with repulsive Robin boundary conditions.