Skew Pieri algebras of the general linear group
DC Field | Value | Language |
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dc.contributor.author | Kim, Sangjib | - |
dc.contributor.author | Lee, Soo Teck | - |
dc.contributor.author | Wang, Yi | - |
dc.date.accessioned | 2021-09-02T02:33:11Z | - |
dc.date.available | 2021-09-02T02:33:11Z | - |
dc.date.created | 2021-06-19 | - |
dc.date.issued | 2018-12 | - |
dc.identifier.issn | 0022-2488 | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/71390 | - |
dc.description.abstract | Let V be an irreducible polynomial representation of the general linear group GL(n) = GL(n)(C) and let alpha(1), ... , alpha(q) be nonnegative integers less than or equal to n. We call a description of the irreducible decomposition of the tensor product V circle times Lambda(alpha 1) (C-n) circle times ... circle times Lambda(alpha q)(C-n) an iterated skew Pieri rule for GL(n). In this paper, we define a family of complex algebras whose structure encodes an iterated skew Pieri rule for GL(n), and we call these algebras iterated skew Pieri algebras. Our main goal is to construct a basis for each of these algebras thereby giving explicit highest weight vectors in the above tensor product. Published by AIP Publishing. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | AMER INST PHYSICS | - |
dc.title | Skew Pieri algebras of the general linear group | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Sangjib | - |
dc.identifier.doi | 10.1063/1.5050052 | - |
dc.identifier.scopusid | 2-s2.0-85058487621 | - |
dc.identifier.wosid | 000454626900012 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL PHYSICS, v.59, no.12 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL PHYSICS | - |
dc.citation.volume | 59 | - |
dc.citation.number | 12 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Physics | - |
dc.relation.journalWebOfScienceCategory | Physics, Mathematical | - |
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