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http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43503完整後設資料紀錄
| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 程舜仁(Shun-Jen Cheng) | |
| dc.contributor.author | Jyun-Ao Lin | en |
| dc.contributor.author | 林濬璈 | zh_TW |
| dc.date.accessioned | 2021-06-15T02:22:32Z | - |
| dc.date.available | 2009-08-21 | |
| dc.date.copyright | 2009-08-21 | |
| dc.date.issued | 2009 | |
| dc.date.submitted | 2009-08-19 | |
| dc.identifier.citation | A. Beilinson and J. Bernstein, Localisation de g-modules, C. R. Acad. Sci. Paris Ser. I Math. 292 (1981), 15-18.
J. Bernstein, I. M. Gelfand and S. I. Gelfand, A category of g-modules, Func. Anal. Appl. 10 (1976), 87-92. J. Brudan, Kazhdan-Lusztig polynomials and character formulae for the Lie superalgebra gl(m|n), J. Amer. Math. Soc. 16 (2003), 185-231 J. Brundan, Tilting modules for Lie superalgebras, Commun. in Algebra 32 (2004), 2251-2268. J. L. Brylinksi and M. Kashiwara, Kazhdan-Lusztig conjecture and holonomic systems, Invent. Math. 64 (1981), 387-410. S.-J. Cheng, W. Wang and R. B. Zhang, Super duality and Kazhan-Lusztig polynomails, Trans. of AMS Vol. 360 (11), 2008, 5883-5924. J. Dixmier, Enveloping algebras, Graduate Studies in Math. 11, Amer. Math. Soc., 1996. J. C. Jantzen, Moduln mit einem hAochsten Gewicht, Lecture Notes in Math. no. 750, Springer-Verlag, 1983. J. C. Jantzen, Representations of algebraic groups, 2nd ed., Amer. Math. Soc., Providence, RI, 2003. V. Kac, Lie superalgebras, Advances in Math. 26 (1977), 8-96. V. Kac, Characters of typical representations of classical Lie superalgebras, Commun. in Algebra 5 (8) (1977), 889-897. V. Kac, Representations of classical Lie superalgebras, in: Differential geometrical methods in mathematical physics II', Lecture Notes in Math. no. 676, pp. 597-626, Springer-Verlag, Berlin, 1978. D. Kazhdan and G. Lusztig, Representations of Coxeter groups and Hecke algebras, Invent. Math. 53 (1979), 165-184. I. Penkov and V. Serganova, Representations of classical Lie superalgebras of type I, Indag., Mathem., N. S. 3(4) (1992), 419-466. D. Vogan: Irreducible characters of semisimple Lie Groups II: The Kazhdan-Lusztig Conjectures, Duke Math. J. 46 (1979), 805-859. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/43503 | - |
| dc.description.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。 | zh_TW |
| dc.description.abstract | 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 $gl(m)oplus gl(n)$. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-15T02:22:32Z (GMT). No. of bitstreams: 1 ntu-98-R95221017-1.pdf: 414637 bytes, checksum: b3b387f935dbcc9ee6803739a9778cd0 (MD5) Previous issue date: 2009 | en |
| dc.description.tableofcontents | 口試委員會審定書…………………………………………………………..…… i
誌謝…………………………………………………………………………..……. ii 中文摘要………………………………………………………………………..… iii 英文摘要……………………………………………………………………….…. iv 第一章 Introduction…………………………………………………………...….. 1 第二章 Translation Functors…………………………………………………. 1 第三章 Representation Theory of gl(m|n)……………………………………..…. 21 第四章 An Equivalence of Categories…………………………………………... 24 參考文獻…………………………………………………………………….…… 29 | |
| dc.language.iso | en | |
| dc.subject | 李超代數 | zh_TW |
| dc.subject | 李代數 | zh_TW |
| dc.subject | 表現理論 | zh_TW |
| dc.subject | Lie algebras | en |
| dc.subject | Kazhdan-Lusztig polynomials | en |
| dc.subject | Representation theory | en |
| dc.subject | Lie Superalgebras | en |
| dc.title | 具典型中心特徵的一般線性李超代數模範疇 | zh_TW |
| dc.title | Categories of General Linear Lie Superalgebra With Typical Central Characters | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 97-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 林牛(Ngau Lam),蔡孟傑(Meng Kiat Chuah) | |
| dc.subject.keyword | 李代數,李超代數,表現理論, | zh_TW |
| dc.subject.keyword | Lie algebras,Lie Superalgebras,Representation theory,Kazhdan-Lusztig polynomials, | en |
| dc.relation.page | 29 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2009-08-19 | |
| dc.contributor.author-college | 理學院 | zh_TW |
| dc.contributor.author-dept | 數學研究所 | zh_TW |
| 顯示於系所單位： | 數學系 | |
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