Quantum Lakshmibai-Seshadri paths and root operators
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Quantum Lakshmibai-Seshadri paths and root operators

  • Author(s): Lenart, Cristian
  • Naito, Satoshi
  • Sagaki, Daisuke
  • Schilling, Anne
  • Shimozono, Mark
  • et al.
Abstract

We give an explicit description of the image of a quantum LS path, regarded as a rational path, under the action of root operators, and show that the set of quantum LS paths is stable under the action of the root operators. As a by-product, we obtain a new proof of the fact that a projected level-zero LS path is just a quantum LS path.

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