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Grobner-Shirshov bases for representation theory
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Kang, Seok-Jin | - |
| dc.contributor.author | Lee, Kyu-Hwan | - |
| dc.date.accessioned | 2009-11-16T03:01:02Z | - |
| dc.date.available | 2009-11-16T03:01:02Z | - |
| dc.date.issued | 2000 | - |
| dc.identifier.citation | J. Korean Math. Soc. 37 (2000), 55-72 | en |
| dc.identifier.issn | 0304 - 9914 | - |
| dc.identifier.uri | https://hdl.handle.net/10371/12179 | - |
| dc.description.abstract | In this paper, we develop the Gr6bner-Shirshov basis
theory for the representations of associative algebras by introducing the notion of Gr6bner-Shirshov pairs. Our result can be applied to solve the reduction problem in representation theory and to construct monomial bases of representations of associative algebras. As an illustration, we give an explicit construction of Gr6bner-Shirshov pairs and monomial bases for finite dimensional ir:-educible representations of the simple Lie algebra Sl3' Each of these monomial bases is in 1-1 corr3spondence with the set of semistandard Young tableaux with a given shape. | en |
| dc.description.sponsorship | This research was supported by KOSEF Grant # 98-0701-01-5-L and the Young
Scientist Award, Korean Academy of Science and Technology. | en |
| dc.language.iso | en | - |
| dc.publisher | 대한수학회 = The Korean Mathematical Society | en |
| dc.subject | Gr6bner-Shirshov pair | en |
| dc.subject | monomial basis | en |
| dc.subject | representation | en |
| dc.subject | simple Lie algebra | en |
| dc.subject | semistandard Young tableau | en |
| dc.title | Grobner-Shirshov bases for representation theory | en |
| dc.type | Article | en |
| dc.contributor.AlternativeAuthor | 강석진 | - |
| dc.contributor.AlternativeAuthor | 이규환 | - |
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