"Bruhat ordering"의 두 판 사이의 차이
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imported>Pythagoras0 (새 문서: ;def (Bruhat ordering) Define a partial order on the elements of $W$ as follows : The vertex set is the set of elements of the Coxeter group and the edge set consists of directed edg...) |
imported>Pythagoras0 |
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1번째 줄: | 1번째 줄: | ||
+ | * Let $W$ be a Coxeter group | ||
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;def (Bruhat ordering) | ;def (Bruhat ordering) | ||
Define a partial order on the elements of $W$ as follows : | Define a partial order on the elements of $W$ as follows : |
2016년 5월 2일 (월) 06:18 판
- Let $W$ be a Coxeter group
- def (Bruhat ordering)
Define a partial order on the elements of $W$ as follows :
The vertex set is the set of elements of the Coxeter group and the edge set consists of directed edges $(u, v)$ whenever $u = t v$ for some reflection $t$ and $\ell(u) < \ell(v)$.