Search Results
| Search type | Search syntax |
|---|---|
| Tags | [tag] |
| Exact | "words here" |
| Author |
user:1234 user:me (yours) |
| Score |
score:3 (3+) score:0 (none) |
| Answers |
answers:3 (3+) answers:0 (none) isaccepted:yes hasaccepted:no inquestion:1234 |
| Views | views:250 |
| Code | code:"if (foo != bar)" |
| Sections |
title:apples body:"apples oranges" |
| URL | url:"*.example.com" |
| Saves | in:saves |
| Status |
closed:yes duplicate:no migrated:no wiki:no |
| Types |
is:question is:answer |
| Exclude |
-[tag] -apples |
| For more details on advanced search visit our help page | |
Results tagged with cluster-algebras
Search options not deleted
user 10881
Questions related to cluster algebras, a class of commutative rings introduced around 2000 by Fomin and Zelevinsky, and nearby topics.
6
votes
0
answers
339
views
cluster variables and L-functions
There is something in common between
cluster variables in the theory of cluster algebras,
L-functions in number theory,
namely the fact that both map direct sums to products, just like determinant …
- 3,597
3
votes
Grassmannian cluster algebra of infinite type has no trees in its mutation class
Regarding question Q2, one can go a little bit further and describe simple diagrams with few edges for some more cases.
Let us talk about $Gr(p, p+q)$, so that there is a symmetry between $p$ and $q$. …
- 3,597
2
votes
Kahler differentials on cluster varieties
There is not much known in general, as far as I know.
There is a nice 2-form (called the Weil-Petersson 2-form) defined using the cluster algebra structure.
This can be found in article "The Weil-Pe …
- 3,597
2
votes
Accepted
Number of cluster variables
For $A_k$ of level $\ell$, the cluster types are given by square grids of size $k \times \ell$.
Therefore the types you ask for are $E_6$ and $E_8$ (see Scott - Grassmannians and cluster algebras), fo …
- 3,597
1
vote
About cluster variables obtained by (sequentially) mutating at exchangeable variables from a...
Not really an answer, but a comment about the related question:
Can one reach every cluster in that way ?
It is rather easy to check (using sagemath or Keller's applet) that for the cyclic quiver in …
- 3,597