B (λ)和B(∞)的一种新的青年墙实现

IF 0.4 4区数学 Q4 MATHEMATICS

Algebra Colloquium Pub Date : 2023-08-29 DOI:10.1142/s100538672300041x

Zhaobing Fan, Shaolong Han, Seok-Jin Kang, Young Rock Kim

{"title":"B (λ)和B(∞)的一种新的青年墙实现","authors":"Zhaobing Fan, Shaolong Han, Seok-Jin Kang, Young Rock Kim","doi":"10.1142/s100538672300041x","DOIUrl":null,"url":null,"abstract":"Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal [Formula: see text] for the quantum affine algebras of types [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. We show that the crystal consisting of reduced Young walls is isomorphic to the crystal [Formula: see text]. Moreover, we provide a new realization of the crystal [Formula: see text] in terms of reduced virtual Young walls and reduced extended Young walls.","PeriodicalId":50958,"journal":{"name":"Algebra Colloquium","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2023-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A New Young Wall Realization of B ( λ ) and B ( ∞ )\",\"authors\":\"Zhaobing Fan, Shaolong Han, Seok-Jin Kang, Young Rock Kim\",\"doi\":\"10.1142/s100538672300041x\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal [Formula: see text] for the quantum affine algebras of types [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. We show that the crystal consisting of reduced Young walls is isomorphic to the crystal [Formula: see text]. Moreover, we provide a new realization of the crystal [Formula: see text] in terms of reduced virtual Young walls and reduced extended Young walls.\",\"PeriodicalId\":50958,\"journal\":{\"name\":\"Algebra Colloquium\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebra Colloquium\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1142/s100538672300041x\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebra Colloquium","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1142/s100538672300041x","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

利用杨壁的新组合学，我们给出了类型为[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]、[公式:见文]和[公式:见文]的量子仿射代数的任意能级最高重晶体[公式:见文]的新结构。我们证明了由还原杨氏壁组成的晶体与晶体是同构的[公式:见文]。此外，我们提供了一个新的实现晶体[公式:见文]在减少虚拟杨墙和减少扩展杨墙。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

A New Young Wall Realization of B ( λ ) and B ( ∞ )

Using new combinatorics of Young walls, we give a new construction of the arbitrary level highest weight crystal [Formula: see text] for the quantum affine algebras of types [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. We show that the crystal consisting of reduced Young walls is isomorphic to the crystal [Formula: see text]. Moreover, we provide a new realization of the crystal [Formula: see text] in terms of reduced virtual Young walls and reduced extended Young walls.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Algebra Colloquium 数学-数学

CiteScore

0.60

自引率

0.00%

发文量

625

审稿时长

15.6 months

期刊介绍： Algebra Colloquium is an international mathematical journal founded at the beginning of 1994. It is edited by the Academy of Mathematics & Systems Science, Chinese Academy of Sciences, jointly with Suzhou University, and published quarterly in English in every March, June, September and December. Algebra Colloquium carries original research articles of high level in the field of pure and applied algebra. Papers from related areas which have applications to algebra are also considered for publication. This journal aims to reflect the latest developments in algebra and promote international academic exchanges.