"Quiver mutations"의 두 판 사이의 차이
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imported>Pythagoras0 |
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==quiver== | ==quiver== | ||
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==links== | ==links== | ||
| + | * http://www.mutatingquivers.com/Home.html | ||
* http://www.mutatingquivers.com/Concept%20of%20Mutation.html | * http://www.mutatingquivers.com/Concept%20of%20Mutation.html | ||
| + | * http://mathoverflow.net/questions/36536/quiver-mutation | ||
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| + | ==related items== | ||
| + | * [[Exchange relations of cluster algebras]] | ||
| + | * [[quiver representations]] | ||
2013년 10월 11일 (금) 10:43 판
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.
links
- http://www.mutatingquivers.com/Home.html
- http://www.mutatingquivers.com/Concept%20of%20Mutation.html
- http://mathoverflow.net/questions/36536/quiver-mutation