Publications
Detailed Information
Representations of Ariki-Koike algebras and Grobner-Shirshov bases
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kang, Seok-Jin | - |
dc.contributor.author | Lee, In-Sok | - |
dc.contributor.author | Lee, Kyu-Hwan | - |
dc.contributor.author | Oh, Hyekyung | - |
dc.date.accessioned | 2009-11-15T23:24:31Z | - |
dc.date.available | 2009-11-15T23:24:31Z | - |
dc.date.issued | 2004-07 | - |
dc.identifier.citation | Proc. London Math. Soc.(3) 89 (2004) 54-70 | en |
dc.identifier.govdoc | http://dx.doi.org/10.1112/S0024611503014606 | - |
dc.identifier.issn | 0024-6115 | - |
dc.identifier.uri | https://hdl.handle.net/10371/12154 | - |
dc.description.abstract | In this paper, we investigate the structure of Ariki–Koike algebras and their Specht modules using Gröbner–Shirshov basis theory and combinatorics of Young tableaux. For a multipartition $\lambda$, we find a presentation of the Specht module $S^{\lambda}$ given by generators and relations, and determine its Gröbner–Shirshov pair. As a consequence, we obtain a linear basis of $S^{\lambda}$ consisting of standard monomials with respect to the Gröbner–Shirshov pair. We show that this monomial basis can be canonically identified with the set of cozy tableaux of shape $\lambda$. | en |
dc.description.sponsorship | The research of the first author 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 | Oxford University Press | en |
dc.subject | Ariki–Koike algebras | en |
dc.subject | Specht modules | en |
dc.subject | Gröbner–Shirshov basis | en |
dc.subject | tableaux | en |
dc.title | Representations of Ariki-Koike algebras and Grobner-Shirshov bases | en |
dc.type | Article | en |
dc.contributor.AlternativeAuthor | 강석진 | - |
dc.contributor.AlternativeAuthor | 이인석 | - |
dc.contributor.AlternativeAuthor | 이규환 | - |
dc.contributor.AlternativeAuthor | 오혜경 | - |
- Appears in Collections:
- Files in This Item:
- There are no files associated with this item.
Item View & Download Count
Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.