Matrix mutation | Visual Cluster Algebras

2. Choose mutation matrix size

3. Input mutation matrix

\(\mathcal{A}(\mathbb{Z}^{\rm min})\)-tropical point	\(\mathcal{X}(\mathbb{Z}^{\rm min})\)-tropical point	\(\mathcal{A}(\mathbb{Z}^{\rm max})\)-tropical point	\(\mathcal{X}(\mathbb{Z}^{\rm max})\)-tropical point

2. Choose rank of Lie group

n =

3. Choose Cartan-Killing type

4. Choose double reduced word (separated by commas)

i =

2. Choose Grassmannian parameters

k =

n =

2. Choose rank of cluster algebra

n =

3. Choose Cartan-Killing type

2. Choose a matrix from the list

Current data

Mutation matrix	Principal part	Quiver	\(\mathcal{A}(\mathbb{Z}^{\rm min})\)-tropical point	\(\mathcal{X}(\mathbb{Z}^{\rm min})\)-tropical point	\(\mathcal{A}(\mathbb{Z}^{\rm max})\)-tropical point	\(\mathcal{X}(\mathbb{Z}^{\rm max})\)-tropical point

Mutations

Custom mutation matrix	From double Bruhat cell	From Grassmannian
Matrix of Dynkin type	Matrix of affine Dynkin type	From a library of other remarkable matrices
Options
\(\mathcal{A}(\mathbb{Z}^{\rm min})\)-tropical point \(\mathcal{X}(\mathbb{Z}^{\rm min})\)-tropical point	\(\mathcal{A}(\mathbb{Z}^{\rm max})\)-tropical point \(\mathcal{X}(\mathbb{Z}^{\rm max})\)-tropical point

Sign-skew-symmetric:
Skew-symmetrisable: