複單李代數上的有限維對角的自同構

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DC Field	Value	Language
dc.contributor.author	劉筱凡	en_US
dc.contributor.author	Hsiao-Fan Liu	en_US
dc.contributor.author	蔡孟傑	en_US
dc.contributor.author	Meng-Kiat Chuah	en_US
dc.date.accessioned	2014-12-12T03:06:38Z	-
dc.date.available	2014-12-12T03:06:38Z	-
dc.date.issued	2006	en_US
dc.identifier.uri	http://140.113.39.130/cdrfb3/record/nctu/#GT009422503	en_US
dc.identifier.uri	http://hdl.handle.net/11536/81292	-
dc.description.abstract	複單李代數上的一自同構若保持住一個Cartan 子李代數且以係數乘積作用在相對應的根空間上，即稱為一對角的自同構。本篇論文中，我們研究複單李代數上的有限維對角的自同構。特別地，我們可藉由圖形來表示這些自同構，並且討論等價的圖形中彼此的組合性質。	zh_TW
dc.description.abstract	An automorphism on a complex simple Lie algebra is said to be diagonal if it preserves a Cartan subalgebra and acts as scalar multiples on the correspond- ing root spaces. In this thesis, we study ‾nite order diagonal automorphisms on complex simple Lie algebras. In particular, we represent these automorphisms by some diagrams, and study the combinatorial properties of equivalent dia- grams.	en_US
dc.language.iso	en_US	en_US
dc.subject	對角的自同構	zh_TW
dc.subject	複單李代數	zh_TW
dc.subject	diagonal automorphism	en_US
dc.subject	complex simple Lie algebra	en_US
dc.title	複單李代數上的有限維對角的自同構	zh_TW
dc.title	Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras	en_US
dc.type	Thesis	en_US
dc.contributor.department	應用數學系所	zh_TW
Appears in Collections:	Thesis

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