| G2型量子群表示的Grobner—Shirshov基 |
| |
| 引用本文： | 艾尼·吾司塔,阿布都卡的·吾甫. G2型量子群表示的Grobner—Shirshov基[J]. 重庆工商大学学报(自然科学版), 2013, 0(11): 1-5 |
| |
| 作者姓名： | 艾尼·吾司塔 阿布都卡的·吾甫 |
| |
| 作者单位： | 新疆大学数学与系统科学学院,乌鲁木齐830046 |
| |
| 基金项目： | 国家自然科学基金（11061033）. |
| |
| 摘 要： | 用单李代数的泛包络代数表示的Grobner-Shirshov基方法，也就是Grobner-Shirshov对（pair）方法，来构造G2型量子群表示的Grobner—Shirshov基是非常苦难的。而用双自由模方法来构造G2型量子群的有限维不可约表示的Grobner—Shirshov基是非常方便的；以已知的G2型量子群的Grobner—Shirshov基为基础．用双自由模方法构造G2型量子群的不可约表示的Grobner-Shirshov基。
|
| 关 键 词： | 量子群 Grsbner—Shirshov基 合成 双自由模 最高权模 |
Grobner-Shirshov Basis Represented by G2 -Type Quantum Group |
| |
| Affiliation: | Aini Utta, Abdukadir Obul (School of Mathematics and System Science, Xinjiang University, Urumqi 830046, China) |
| |
| Abstract: | The construction of Grobner-Shirshov Basis represented by G2-type quantum group by Grobner- Shirshov Basis method represented by universal enveloping algebras of simple Lie algebras, i.e. Grobner-Shirshov pair method, is very difficult, however, the construction of Grobner-Shirshov Basis represented by finite dimensional irreducible of G2-type quantum group by double free modules is convenient. By taking Grobner- Shirshov Basis of G2-type quantum group as the basis, this paper uses double free modules method to construct Grobner-Shirshov Basis of irreducible representation of G2-type quantum group. |
| |
| Keywords: | quantum group Grobner-Shirshov Basis composition double free modules the highest weight module |
| 本文献已被 维普 等数据库收录！ |
