%0 Journal Article %T Integrable boundary conditions for multi-species ASEP %+ Laboratoire Charles Coulomb (L2C) %+ Laboratoire d'Annecy-le-Vieux de Physique Théorique (LAPTH) %A Crampé, Nicolas %A Finn, C. %A Ragoucy, E. %A Vanicat, M. %< avec comité de lecture %Z LAPTH-025/16 L2C:16-096 %@ 1751-8113 %J Journal of Physics A: Mathematical and Theoretical %I IOP Publishing %V 49 %N 37 %P 375201 %8 2016-09-16 %D 2016 %Z 1606.01018 %R 10.1088/1751-8113/49/37/375201 %K multi-species ASEP %K open boundaries %K integrable systems %Z Physics [physics]/Mathematical Physics [math-ph]Journal articles %X 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. %G English %L hal-01341951 %U https://hal.science/hal-01341951 %~ UNIV-SAVOIE %~ UGA %~ CNRS %~ LAPTH %~ L2C %~ TDS-MACS %~ MIPS %~ UNIV-MONTPELLIER %~ USMB-COMUE %~ UM-2015-2021