Open Access
VOL. 71 | 2016 Quantum Lakshmibai-Seshadri paths and root operators
Chapter Author(s) 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

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