BROWSE

Related Scientist

Lee, Eun Jeong's photo.

Lee, Eun Jeong
기하학 수리물리 연구단
more info

ITEM VIEW & DOWNLOAD

On the combinatorics of string polytopes

Cited 0 time in webofscience Cited 0 time in scopus
28 Viewed 0 Downloaded
Title
On the combinatorics of string polytopes
Author(s)
Cho, Yunhyung; Kim, Yoosik; Eunjeong Lee; Kyeong-Dong Park
Publication Date
2021-11
Journal
JOURNAL OF COMBINATORIAL THEORY SERIES A, v.184
Publisher
Academic Press Inc.
Abstract
© 2021 Elsevier Inc.For a reduced word i of the longest element in the Weyl group of SLn+1(C), one can associate the string cone Ci which parametrizes the dual canonical bases. In this paper, we classify all i's such that Ci is simplicial. We also prove that for any regular dominant weight λ of sln+1(C), the corresponding string polytope Δi(λ) is unimodularly equivalent to the Gelfand–Cetlin polytope associated to λ if and only if Ci is simplicial. Thus we completely characterize Gelfand–Cetlin type string polytopes in terms of i.
URI
https://pr.ibs.re.kr/handle/8788114/10278
DOI
10.1016/j.jcta.2021.105508
ISSN
0097-3165
Appears in Collections:
Center for Geometry and Physics(기하학 수리물리 연구단) > 1. Journal Papers (저널논문)
Files in This Item:
There are no files associated with this item.

qrcode

  • facebook

    twitter

  • Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.
해당 아이템을 이메일로 공유하기 원하시면 인증을 거치시기 바랍니다.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse