"Quiver mutations"의 두 판 사이의 차이
둘러보기로 가기
검색하러 가기
imported>Pythagoras0 |
imported>Pythagoras0 |
||
| 10번째 줄: | 10번째 줄: | ||
* quiver = finite oriented graph without loop and 2-cycle | * quiver = finite oriented graph without loop and 2-cycle | ||
| + | |||
| + | |||
| + | |||
| + | ==quiver mutations== | ||
| + | * This is a process that can be done at any point of the quiver | ||
| + | * The new quiver has same points as the old quiver. | ||
| + | * Arrows into the point of mutation in the old quiver becomes arrows out, in the new quiver. | ||
| + | * Arrows out of the point of mutation in the old quiver becomes arrows into, in the new quiver. | ||
| + | * There are new arrows formed. Any path of length 2 through the point of mutation gives an arrow in the new quiver. The arrow has the same startining and ending points as the path. | ||
| + | * The new arrows simplify with any old arrows in the opposite direction. | ||
| − | + | http://www.mutatingquivers.com/Concept%20of%20Mutation.html | |
| + | |||
| − | |||
| − | |||
| − | + | [[분류:개인노트]] | |
[[분류:cluster algebra]] | [[분류:cluster algebra]] | ||
| − | |||
[[분류:math and physics]] | [[분류:math and physics]] | ||
[[분류:math]] | [[분류:math]] | ||
2013년 10월 8일 (화) 10:02 판
- http://www.mutatingquivers.com/Home.html
- http://mathoverflow.net/questions/36536/quiver-mutation
- quiver representations
quiver
- quiver = finite oriented graph without loop and 2-cycle
quiver mutations
- This is a process that can be done at any point of the quiver
- The new quiver has same points as the old quiver.
- Arrows into the point of mutation in the old quiver becomes arrows out, in the new quiver.
- Arrows out of the point of mutation in the old quiver becomes arrows into, in the new quiver.
- There are new arrows formed. Any path of length 2 through the point of mutation gives an arrow in the new quiver. The arrow has the same startining and ending points as the path.
- The new arrows simplify with any old arrows in the opposite direction.