2016/06/03 by N. Crampe, C. Finn, E. Ragoucy +1 · 1 citation
Physics and Astronomy · Mathematics · #math-ph #cond-mat.stat-mech #math.MP
paper · pdf · doi:10.1088/1751-8113/49/37/375201
published as J. Phys. A49 (2016) 375201 · 20 pages
arxiv created 2016/06/03 · arxiv updated 2017/05/03
The first result of the present paper is to provide classes of explicit solutions for integrable boundary matrices for the multi-species ASEP with an arbitrary number of species. All the solutions we have obtained can be seen as representations of a new algebra that contains the boundary Hecke algebra. The boundary Hecke algebra is not sufficient to build these solutions. This is the second result of our paper.