"유한바일군의 계산 강의노트"의 두 판 사이의 차이
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Pythagoras0 (토론 | 기여) (새 문서: ==개요== * Bourbaki ordering * Cartan matrix * representation of basic objects ** how to represent an element of the root lattice ** how to represent an element of the weight lattic...) |
Pythagoras0 (토론 | 기여) (→개요) |
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| 6번째 줄: | 6번째 줄: | ||
** how to represent an element of the weight lattice | ** how to represent an element of the weight lattice | ||
** how to represent an element of the Weyl group | ** how to represent an element of the Weyl group | ||
| − | * | + | * change of coordinates from root basis to weight basis and vice versa |
** inverse of Cartan matrix | ** inverse of Cartan matrix | ||
* action of Weyl group on root lattice | * action of Weyl group on root lattice | ||
2016년 7월 18일 (월) 16:22 판
개요
- Bourbaki ordering
- Cartan matrix
- representation of basic objects
- how to represent an element of the root lattice
- how to represent an element of the weight lattice
- how to represent an element of the Weyl group
- change of coordinates from root basis to weight basis and vice versa
- inverse of Cartan matrix
- action of Weyl group on root lattice
- action of Weyl group on weight lattice
- how to generate all positive roots
- how to generate elements of the Weyl group