Two Dualities: Markov and Schur–Weyl

@article{Kuan2020TwoDM,
  title={Two Dualities: Markov and Schur–Weyl},
  author={Jeffrey Kuan},
  journal={arXiv: Probability},
  year={2020}
}
  • Jeffrey Kuan
  • Published 24 June 2020
  • Mathematics
  • arXiv: Probability
We show that quantum Schur-Weyl duality leads to Markov duality for a variety of asymmetric interacting particle systems. In particular, we consider three cases: (1) Using a Schur-Weyl duality between a two-parameter quantum group and a two-parameter Hecke algebra from arXiv:math/0108038, we recover the Markov self-duality of multi-species ASEP previously discovered in arXiv:1605.00691 and arXiv:1606.04587. (2) From a Schur-Weyl duality between a co-ideal subalgebra of a quantum group and a… 
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