Papers βΊ A Type D Asymmetric Simple Exclusion Process Generated by an Explicit Central Element...
A Type D Asymmetric Simple Exclusion Process Generated by an Explicit Central Element of π°_q(π°π¬ββ)
Eddie Rohr, Karthik Sellakumaran Latha, Amanda Yin
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The Type D asymmetric simple exclusion process (Type D ASEP) is a two-species interacting particle system exhibiting a drift, where two particles may occupy the same site only if they belong to different species. In previous research (arXiv:2011.13473), the Type D ASEP was generated using the quantum Hamiltonian corresponding to central elements from the quantum groups π°_q(π°π¬β) and π°_q(π°π¬β). We extend this construction to the case of π°_q(π°π¬ββ). Additionally, we generalize a previously known duality function from arXiv:2209.11114 for the Type D ASEP for all n.
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