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arXiv · 1308.3529

Quantum Lakshmibai-Seshadri paths and root operators

Cristian Lenart·Satoshi Naito·Daisuke Sagaki·Anne Schilling·Mark Shimozono
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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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Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, Mark Shimozono. 2013-08-16. Quantum Lakshmibai-Seshadri paths and root operators. https://arxiv.org/abs/1308.3529

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