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....
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| Format: | Others |
| Language: | en_US |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/05601161413454963288 |
| Summary: | 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.
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