"Quiver mutations"의 두 판 사이의 차이
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imported>Pythagoras0 잔글 (찾아 바꾸기 – “<h5>” 문자열을 “==” 문자열로) |
imported>Pythagoras0 잔글 (찾아 바꾸기 – “</h5>” 문자열을 “==” 문자열로) |
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| 7번째 줄: | 7번째 줄: | ||
| − | ==quiver | + | ==quiver== |
* quiver = finite oriented graph without loop and 2-cycle | * quiver = finite oriented graph without loop and 2-cycle | ||
| 15번째 줄: | 15번째 줄: | ||
| − | ==quiver mutations | + | ==quiver mutations== |
Process of mutation<br> This is a process that can be done at any point of the quiver.<br> The new quiver has same points as the old quiver.<br> Arrows into the point of mutation in the old quiver becomes arrows out, in the new quiver.<br> Arrows out of the point of mutation in the old quiver becomes arrows into, in the new quiver.<br> 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.<br> The new arrows simplify with any old arrows in the opposite direction. | Process of mutation<br> This is a process that can be done at any point of the quiver.<br> The new quiver has same points as the old quiver.<br> Arrows into the point of mutation in the old quiver becomes arrows out, in the new quiver.<br> Arrows out of the point of mutation in the old quiver becomes arrows into, in the new quiver.<br> 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.<br> The new arrows simplify with any old arrows in the opposite direction. | ||
2012년 10월 28일 (일) 14:37 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
Process of mutation
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.