Open Access
VOL. 71 | 2016 Quantum Lakshmibai-Seshadri paths and root operators
Cristian Lenart, Satoshi Naito, Daisuke Sagaki, Anne Schilling, Mark Shimozono

Editor(s) Hiroshi Naruse, Takeshi Ikeda, Mikiya Masuda, Toshiyuki Tanisaki

Adv. Stud. Pure Math., 2016: 267-294 (2016) DOI: 10.2969/aspm/07110267

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.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 06810380
MathSciNet: MR3644827

Digital Object Identifier: 10.2969/aspm/07110267

Rights: Copyright © 2016 Mathematical Society of Japan

PROCEEDINGS ARTICLE
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