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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kang, SJ | - |
| dc.contributor.author | Lee, DI | - |
| dc.contributor.author | Lee, KH | - |
| dc.contributor.author | Park, H | - |
| dc.date.accessioned | 2016-04-01T02:54:58Z | - |
| dc.date.available | 2016-04-01T02:54:58Z | - |
| dc.date.created | 2010-05-31 | - |
| dc.date.issued | 2007-07-15 | - |
| dc.identifier.issn | 0021-8693 | - |
| dc.identifier.other | 2007-OAK-0000021190 | - |
| dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/25978 | - |
| dc.description.abstract | We construct a new efficient algorithm for finding Grobner-Shirshov bases for noncommutative algebras and their representations. This algorithm uses the Macaulay matrix [F.S. Macaulay, On some formula in elimination, Proc. London Math. Soc. 33 (1) (1902) 3-27], and can be viewed as a representation theoretic analogue of the F-4 algorithm developed by J.C. Faug re. We work out some examples of universal enveloping algebras of Lie algebras and of their representations to illustrate the algorithm. (c) 2007 Elsevier Inc. All rights reserved. | - |
| dc.description.statementofresponsibility | X | - |
| dc.language | English | - |
| dc.publisher | Elsevier | - |
| dc.relation.isPartOf | JOURNAL OF ALGEBRA | - |
| dc.subject | Grobner-Shirshov basis | - |
| dc.subject | Grobner-Shirshov pair | - |
| dc.subject | monomial basis | - |
| dc.subject | macaulay matrix | - |
| dc.subject | noncommutative algebra | - |
| dc.subject | representation | - |
| dc.subject | simple Lie algebra | - |
| dc.subject | universal enveloping algebra | - |
| dc.subject | BASES | - |
| dc.title | Linear algebraic approach to Grobner-Shirshov basis theory | - |
| dc.type | Article | - |
| dc.contributor.college | 수학과 | - |
| dc.identifier.doi | 10.1016/j.jalgebra.2007.02.001 | - |
| dc.author.google | Kang, SJ | - |
| dc.author.google | Lee, DI | - |
| dc.author.google | Lee, KH | - |
| dc.author.google | Park, H | - |
| dc.relation.volume | 313 | - |
| dc.relation.issue | 2 | - |
| dc.relation.startpage | 988 | - |
| dc.relation.lastpage | 1004 | - |
| dc.contributor.id | 10091725 | - |
| dc.relation.journal | JOURNAL OF ALGEBRA | - |
| dc.relation.index | SCI급, SCOPUS 등재논문 | - |
| dc.relation.sci | SCI | - |
| dc.collections.name | Journal Papers | - |
| dc.type.rims | ART | - |
| dc.identifier.bibliographicCitation | JOURNAL OF ALGEBRA, v.313, no.2, pp.988 - 1004 | - |
| dc.identifier.wosid | 000247381600027 | - |
| dc.date.tcdate | 2019-02-01 | - |
| dc.citation.endPage | 1004 | - |
| dc.citation.number | 2 | - |
| dc.citation.startPage | 988 | - |
| dc.citation.title | JOURNAL OF ALGEBRA | - |
| dc.citation.volume | 313 | - |
| dc.contributor.affiliatedAuthor | Park, H | - |
| dc.description.journalClass | 1 | - |
| dc.description.journalClass | 1 | - |
| dc.description.wostc | 13 | - |
| dc.type.docType | Article | - |
| dc.subject.keywordAuthor | Grobner-Shirshov basis | - |
| dc.subject.keywordAuthor | Grobner-Shirshov pair | - |
| dc.subject.keywordAuthor | monomial basis | - |
| dc.subject.keywordAuthor | macaulay matrix | - |
| dc.subject.keywordAuthor | noncommutative algebra | - |
| dc.subject.keywordAuthor | representation | - |
| dc.subject.keywordAuthor | simple Lie algebra | - |
| dc.subject.keywordAuthor | universal enveloping algebra | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
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- 박형주PARK, HYUNGJU
- Dept of Mathematics