Cluster Algebra and Quiver Package: Overview

[stumpc5]

This ticket contains the overview of the Cluster Algebra and Quiver package. Its aim is to keep track different the different tickets I will open on this topic.

In particular, at the moment, there are changes for

• matrices: (skew-)symmetrizable checks (Ticket Implementation of is_(skew_)symmetrizable for matrices #10347), mutations (Ticket Implementation of mutations for matrices #10349)

and the new classes

• ClusterSeed (Ticket Implementation of the class ClusterSeed #13369)

• Quiver (Ticket Implementation of the class ClusterQuiver #10538)

• QuiverMutationType (Ticket Implementation of quiver mutation type #10527)

Additional tickets/patches

• Mutation classes (Ticket Compute Mutation Class for Cluster Algebra Seed or Cluster Quiver #13424) and

• Mutation type recognition (Ticket Compute mutation type of a ClusterSeed or ClusterQuiver #13425)

handle more advanced features.

The dependencies are as follows: #10347 < #10349 < #10527 < #10538 < #13369 < #13424 < #13425 .

CC: @hughrthomas @sagetrac-gmoose05

Component: combinatorics

Keywords: cluster algebra, quiver

Reviewer: Christian Stump

Issue created by migration from https://trac.sagemath.org/ticket/10298

[stumpc5]

Changed keywords from symmetrizable matrix to cluster algebra, quiver

[stumpc5]

Description changed:

--- 
+++ 
@@ -1 +1,15 @@
-Square matrices lack methods for checking (skew-)symmetrizablilty. Those methods are needed to implement cluster algebras and quivers.
+This ticket contains the overview of the Cluster Algebra and Quiver package. Its aim is to keep track different the different tickets I will open on this topic.
+
+In particular, at the moment, there are changes for
+
+- matrices: (skew-)symmetrizable checks, mutations,
+
+- digraphs: mutations, improvements for canonical labels
+
+and the new classes
+
+- ClusterSeed
+
+- Quiver
+
+- QuiverMutationType

[stumpc5]

Description changed:

--- 
+++ 
@@ -2,7 +2,7 @@
 
 In particular, at the moment, there are changes for
 
-- matrices: (skew-)symmetrizable checks, mutations,
+- matrices: (skew-)symmetrizable checks (Ticket #10347), mutations (Ticket #10349)
 
 - digraphs: mutations, improvements for canonical labels
 

[stumpc5]

Description changed:

--- 
+++ 
@@ -8,8 +8,8 @@
 
 and the new classes
 
-- ClusterSeed
+- `ClusterSeed`
 
-- Quiver
+- `Quiver`
 
-- QuiverMutationType
+- `QuiverMutationType` (Ticket #10527)

[stumpc5]

Description changed:

--- 
+++ 
@@ -8,8 +8,8 @@
 
 and the new classes
 
-- `ClusterSeed`
+- `ClusterSeed` (Ticket #10538)
 
-- `Quiver`
+- `Quiver` (Ticket #10538)
 
 - `QuiverMutationType` (Ticket #10527)

[stumpc5]

Description changed:

--- 
+++ 
@@ -13,3 +13,5 @@
 - `Quiver` (Ticket #10538)
 
 - `QuiverMutationType` (Ticket #10527)
+
+The generalized associahedron is contained in Ticket #10817 and the cluster complex in Ticket #10819.