"Quiver mutations"의 두 판 사이의 차이
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(피타고라스님이 이 페이지의 이름을 quiver and cluster algebra로 바꾸었습니다.) |
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* http://mathoverflow.net/questions/36536/quiver-mutation | * http://mathoverflow.net/questions/36536/quiver-mutation | ||
* [[quiver representations]] | * [[quiver representations]] | ||
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| + | <h5>quiver mutations</h5> | ||
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| + | 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 1월 18일 (수) 09:15 판
- http://www.mutatingquivers.com/Home.html
- http://mathoverflow.net/questions/36536/quiver-mutation
- quiver representations
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.