유한바일군의 계산 강의노트
Pythagoras0 (토론 | 기여)님의 2016년 7월 18일 (월) 03:09 판 (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...)
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
- conversion 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