On the structures of hive algebras and tensor product algebras for general linear groups of low rank
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Donggyun | - |
dc.contributor.author | Kim, Sangjib | - |
dc.contributor.author | Park, Euisung | - |
dc.date.accessioned | 2021-09-01T01:25:57Z | - |
dc.date.available | 2021-09-01T01:25:57Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-11 | - |
dc.identifier.issn | 0218-1967 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/62087 | - |
dc.description.abstract | The tensor product algebra TA(n) for the complex general linear group GL(n), introduced by Howe et al., describes the decomposition of tensor products of irreducible polynomial representations of GL(n). Using the hive model for the Littlewood-Richardson (LR) coefficients, we provide a finite presentation of the algebra TA(n) for n = 2, 3,4 in terms of generators and relations, thereby giving a description of highest weight vectors of irreducible representations in the tensor products. We also compute the generating function of certain sums of LR coefficients. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | WORLD SCIENTIFIC PUBL CO PTE LTD | - |
dc.subject | LITTLEWOOD-RICHARDSON RULE | - |
dc.title | On the structures of hive algebras and tensor product algebras for general linear groups of low rank | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Donggyun | - |
dc.contributor.affiliatedAuthor | Kim, Sangjib | - |
dc.contributor.affiliatedAuthor | Park, Euisung | - |
dc.identifier.doi | 10.1142/S0218196719500462 | - |
dc.identifier.scopusid | 2-s2.0-85067582698 | - |
dc.identifier.wosid | 000492828700003 | - |
dc.identifier.bibliographicCitation | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, v.29, no.7, pp.1193 - 1218 | - |
dc.relation.isPartOf | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | - |
dc.citation.title | INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | - |
dc.citation.volume | 29 | - |
dc.citation.number | 7 | - |
dc.citation.startPage | 1193 | - |
dc.citation.endPage | 1218 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | LITTLEWOOD-RICHARDSON RULE | - |
dc.subject.keywordAuthor | General linear group | - |
dc.subject.keywordAuthor | highest weight vector | - |
dc.subject.keywordAuthor | Littlewood-Richardson coefficients | - |
dc.subject.keywordAuthor | tensor product decomposition | - |
dc.subject.keywordAuthor | tensor product algebra | - |
dc.subject.keywordAuthor | hive | - |
dc.subject.keywordAuthor | Hilbert-Poincare series | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
(02841) 서울특별시 성북구 안암로 14502-3290-1114
COPYRIGHT © 2021 Korea University. All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.