Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras

Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras

碩士 === 國立交通大學 === 應用數學系所 === 95 === 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....

Full description

Bibliographic Details
Main Authors: Hsiao-Fan Liu, 劉筱凡
Other Authors: Meng-Kiat Chuah
Format: Others
Language:en_US
Published: 2007
Online Access:http://ndltd.ncl.edu.tw/handle/05601161413454963288
id ndltd-TW-095NCTU5507008
record_format oai_dc
spelling ndltd-TW-095NCTU55070082015-10-13T13:56:24Z http://ndltd.ncl.edu.tw/handle/05601161413454963288 Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras 複單李代數上的有限維對角的自同構 Hsiao-Fan Liu 劉筱凡 碩士 國立交通大學 應用數學系所 95 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. Meng-Kiat Chuah 蔡孟傑 2007 學位論文 ; thesis 16 en_US
collection NDLTD
language en_US
format Others
sources NDLTD
description 碩士 === 國立交通大學 === 應用數學系所 === 95 === 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.
author2 Meng-Kiat Chuah
author_facet Meng-Kiat Chuah
Hsiao-Fan Liu
劉筱凡
author Hsiao-Fan Liu
劉筱凡
spellingShingle Hsiao-Fan Liu
劉筱凡
Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
author_sort Hsiao-Fan Liu
title Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
title_short Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
title_full Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
title_fullStr Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
title_full_unstemmed Finite Order Diagonal Automorphisms on Complex Simple Lie Algebras
title_sort finite order diagonal automorphisms on complex simple lie algebras
publishDate 2007
url http://ndltd.ncl.edu.tw/handle/05601161413454963288
work_keys_str_mv AT hsiaofanliu finiteorderdiagonalautomorphismsoncomplexsimpleliealgebras
AT liúxiǎofán finiteorderdiagonalautomorphismsoncomplexsimpleliealgebras
AT hsiaofanliu fùdānlǐdàishùshàngdeyǒuxiànwéiduìjiǎodezìtónggòu
AT liúxiǎofán fùdānlǐdàishùshàngdeyǒuxiànwéiduìjiǎodezìtónggòu
_version_ 1717746268028010496

Similar Items