Standard Bases for Tensor Products of Exterior Powers
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Howe, Roger | - |
dc.contributor.author | Kim, Sangjib | - |
dc.contributor.author | Lee, Soo Teck | - |
dc.date.accessioned | 2021-08-30T22:20:17Z | - |
dc.date.available | 2021-08-30T22:20:17Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2020-06 | - |
dc.identifier.issn | 1386-923X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/55504 | - |
dc.description.abstract | For n >= a >= b, the tensor product V = Lambda(a)(C-n) circle times Lambda(b)(C-n)has a natural filtration 0 = Vm+ 1 subset of V-m subset of ... subset of V-2 subset of V-1 subset of V-0 = V of Gl(n) submodules where m = min(n - a,b) and V/V-1 is the Cartan product. For each 1 <= u <= m, we construct a basis for V-u and a basis for the quotient V/V-u. The elements in the basis for V-u can be regarded as a generalization of the quadratic relations, and the elements in the basis for V/V-u are parametrized by a set of skew tableaux satisfying a condition that cleanly extends the well known semistandardness condition defining a basis for V/V-1. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.subject | ITERATED PIERI ALGEBRAS | - |
dc.subject | MONOMIAL THEORY | - |
dc.subject | FLAG-ALGEBRAS | - |
dc.title | Standard Bases for Tensor Products of Exterior Powers | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Sangjib | - |
dc.identifier.doi | 10.1007/s10468-019-09869-5 | - |
dc.identifier.scopusid | 2-s2.0-85062608763 | - |
dc.identifier.wosid | 000539035300011 | - |
dc.identifier.bibliographicCitation | ALGEBRAS AND REPRESENTATION THEORY, v.23, no.3, pp.715 - 738 | - |
dc.relation.isPartOf | ALGEBRAS AND REPRESENTATION THEORY | - |
dc.citation.title | ALGEBRAS AND REPRESENTATION THEORY | - |
dc.citation.volume | 23 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 715 | - |
dc.citation.endPage | 738 | - |
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 | ITERATED PIERI ALGEBRAS | - |
dc.subject.keywordPlus | MONOMIAL THEORY | - |
dc.subject.keywordPlus | FLAG-ALGEBRAS | - |
dc.subject.keywordAuthor | General linear group | - |
dc.subject.keywordAuthor | Tensor product | - |
dc.subject.keywordAuthor | Exterior powers | - |
dc.subject.keywordAuthor | Standard basis | - |
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