Gabriel's theorem
Pythagoras0 (토론 | 기여)님의 2021년 2월 17일 (수) 01:06 판
statement
- thm (Gabriel)
A connected quiver Q has finite type iff the underlying graph is a Dynkin diagram of (A,D,E) type. Moreoever there is a bijection between {indecomposable kQ-modules} and {positive roots} \[M \to \dim M\] where \(\dim\) is dimension vector
idea of proof
- define tilting functor
- get Coxeter element
Kac theorem
expositions
- Carroll, Gabriel's Theorem
메타데이터
위키데이터
- ID : Q5515505
Spacy 패턴 목록
- [{'LOWER': 'gabriel'}, {'LOWER': "'s"}, {'LEMMA': 'theorem'}]