유한바일군의 계산 강의노트

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

관련된 항목들

• 코스탄트 무게 중복도 공식 (Kostant weight multiplicity formula)

매스매티카 파일

• https://drive.google.com/file/d/0B8XXo8Tve1cxTG5GeDQtRS1fMDA/view