| Title | Gr\"obner-Shirshov bases for irreducible $mathfraksp_4$-modules. |
| Author(s) | Dong-il Lee |
| Type | Article in Journal |
| Abstract | We give an explicit construction of Grobner-Shirshov pairs and monomial bases for finite-dimensional irreducible representations of the simple Lie algebra . We also identify the monomial basis consisting of the reduced monomials with a set of semistandard tableaux of a given shape, on which we give a colored oriented graph structure. |
| Keywords | Grobner-Shirshov pair;monomial basis;representation;simple Lie algebra;Grobner-Shirshov graph; |
| ISSN | 0304-9914; 2234-3008/e |
| URL |
http://koreascience.or.kr/article/ArticleFullRecord.jsp?cn=DBSHBB_2008_v45n3_711 |
| Language | English |
| Journal | J. Korean Math. Soc. |
| Volume | 45 |
| Number | 3 |
| Pages | 711--725 |
| Publisher | Korean Mathematical Society, Seoul |
| Year | 2008 |
| Edition | 0 |
| Translation |
No |
| Refereed |
No |
