Matrix mutation | Visual Cluster Algebras

1. Select input method

Custom mutation matrix	From double Bruhat cell	From Grassmannian
Matrix of Dynkin type Matrix of affine Dynkin type
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

2. Choose mutation matrix size

3. Input mutation matrix

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 =

1. Choose rank of cluster algebra

n =

2. Choose Cartan-Killing type

Current data

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

5. Mutations

Sign-skew-symmetric:
Skew-symmetrisable: