"Monoidal categorifications of cluster algebras"의 두 판 사이의 차이
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| 1번째 줄: | 1번째 줄: | ||
<h5>introduction</h5> | <h5>introduction</h5> | ||
| − | + | * replace cluster variables by modules | |
| 12번째 줄: | 12번째 줄: | ||
* represetation of a quiver : collection of vector space and linear maps between them | * represetation of a quiver : collection of vector space and linear maps between them | ||
* homomorphism of 2 quiver representations | * homomorphism of 2 quiver representations | ||
| + | * path algebra of a quiver<br> | ||
| + | ** given a quiver Q, a path p is a sequence of arrows with soem | ||
| + | ** set of all k-linear combinations of all paths (including e_i's) | ||
| + | ** | ||
| + | * quiver representation is in fact, a representaion of path algebra of a quiver | ||
2011년 4월 13일 (수) 04:33 판
introduction
- replace cluster variables by modules
notions
- quiver : oriented graph
- represetation of a quiver : collection of vector space and linear maps between them
- homomorphism of 2 quiver representations
- path algebra of a quiver
- given a quiver Q, a path p is a sequence of arrows with soem
- set of all k-linear combinations of all paths (including e_i's)
- quiver representation is in fact, a representaion of path algebra of a quiver
outline of a proof of the periodicity conjecture for pairs of Dynkin diagrams
history
encyclopedia
- http://en.wikipedia.org/wiki/
- http://www.scholarpedia.org/
- http://eom.springer.de
- http://www.proofwiki.org/wiki/
- Princeton companion to mathematics(Companion_to_Mathematics.pdf)
books
expositions
- Keller, Bernhard. 2008. “Cluster algebras, quiver representations and triangulated categories”. 0807.1960 (7월 12). http://arxiv.org/abs/0807.1960.
articles
-
- http://www.ams.org/mathscinet
- http://www.zentralblatt-math.org/zmath/en/
- http://arxiv.org/
- http://www.pdf-search.org/
- http://pythagoras0.springnote.com/
- http://math.berkeley.edu/~reb/papers/index.html
- http://dx.doi.org/
question and answers(Math Overflow)
- http://mathoverflow.net/search?q=
- http://mathoverflow.net/search?q=
- http://math.stackexchange.com/search?q=
- http://math.stackexchange.com/search?q=
blogs
- 구글 블로그 검색
- http://ncatlab.org/nlab/show/HomePage
experts on the field