頁籤選單縮合
| 題 名 | On the Irreducibility of Linear Representations of the Pure Braid Group |
|---|---|
| 作 者 | Abdulrahim, Mohammad N.; | 書刊名 | Tamkang Journal of Mathematics |
| 卷 期 | 41:3 2010.秋[民99.秋] |
| 頁 次 | 頁283-292 |
| 分類號 | 313.2 |
| 關鍵詞 | Braid group; Pure braid group; Gassner representation; |
| 語 文 | 英文(English) |
| 英文摘要 | Following up on our result in [1], we find a milder sufficient condition for the tensor product of specializations of the reduced Gassner representation of the pure braid group to be irreducible. We prove that G(subscript n)(x1,..., x(subscript n))⊗G(subscript n) (y1,...,y(subscript n)):P(subscript n)→GL(C(superscript n-1) ⊗ C(superscript n-1)) is irreducible if x(subscript i)≠±y(subscript i) and x(subscript j)≠±y(subscript j)^(-1) for some i and j. |
本系統中英文摘要資訊取自各篇刊載內容。