Lascoux Polynomials and Subdivisions of Gelfand–Zetlin Polytopes-Reference-Cited by-同舟云学术

登录注册会员服务联系我们

Lascoux Polynomials and Subdivisions of Gelfand–Zetlin Polytopes

Published:2024-09-06 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Presnova Ekaterina¹,Smirnov Evgeny¹²³

Affiliation:

1. HSE University , Usacheva 6, 119048 Moscow, Russia

2. Independent University of Moscow , Bolshoi Vlassievskii pereulok 11, 119002 Moscow, Russia

3. Guangdong Technion – Israel Institute of Technology , Daxue road 241, Shantou, Guangdong, 515063 China

Abstract

Abstract We give a new combinatorial description for Grassmannian Grothendieck polynomials in terms of subdivisions of Gelfand–Zetlin polytopes. Moreover, these subdivisions also provide a description of Lascoux polynomials. This generalizes a similar result on key polynomials by Kiritchenko, Smirnov, and Timorin.

Funder

HSE University Basic Research Program

Publisher

Oxford University Press (OUP)

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnae188/59030418/rnae188.pdf

Reference22 articles.

1. Schubert varieties and Demazure’s character formula;Andersen;Invent. Math.,1985

2. RC-graphs and Schubert polynomials;Bergeron;Exp. Math.,1993

3. Colored five-vertex models and Lascoux polynomials and atoms;Buciumas;J. Lond. Math. Soc. (2),2020

4. A Littlewood–Richardson rule for the $K$-theory of Grassmannians;Buch;Acta Math.,2002

5. Une nouvelle formule des caractères;Demazure;Bull. Sci. Math. (2),1974

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370

www.globalauthorid.com

TOP