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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43503| Title: | 具典型中心特徵的一般線性李超代數模範疇 Categories of General Linear Lie Superalgebra With Typical Central Characters |
| Authors: | Jyun-Ao Lin 林濬璈 |
| Advisor: | 程舜仁(Shun-Jen Cheng) |
| Keyword: | 李代數,李超代數,表現理論, Lie algebras,Lie Superalgebras,Representation theory,Kazhdan-Lusztig polynomials, |
| Publication Year : | 2009 |
| Degree: | 碩士 |
| Abstract: | 我們研讀了有限維一般線性李超代數的BGG模範疇中具有典型中心特徵的子範疇，並証明此範疇與其相對應的李代數範疇等價。 We study the subcategory of the BGG category O of modules over the finite dimensional general linear superalgebra $gl(m|n)$ corresponding to a typical central character. We show that such a category is equivalent to a corresponding subcategory of modules over $gl(m)oplus gl(n)$. |
| URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43503 |
| Fulltext Rights: | 有償授權 |
| Appears in Collections: | 數學系 |
Files in This Item:
| File | Size | Format | |
|---|---|---|---|
| ntu-98-1.pdf Restricted Access | 404.92 kB | Adobe PDF |
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