Integrable boundary conditions for multi-species ASEP
Résumé
The first result of the present paper is to provide classes of explicitsolutions for integrable boundary matrices for the multi-species ASEP with anarbitrary number of species. All the solutions we have obtained can be seen as representations of a newalgebra that contains the boundary Hecke algebra. The boundary Hecke algebra isnot sufficient to build these solutions. This is the second result of ourpaper.