### Navigation

- index
- modules |
- next |
- previous |
- Combinatorics »
- Root Systems »

# Coxeter matrices

`sage.combinat.root_system.coxeter_matrix.``coxeter_matrix`(t)

  Returns the Coxeter matrix of type t.

  EXAMPLES:

      sage: coxeter_matrix(['A', 4])
      [1 3 2 2]
      [3 1 3 2]
      [2 3 1 3]
      [2 2 3 1]
      sage: coxeter_matrix(['B', 4])
      [1 3 2 2]
      [3 1 3 2]
      [2 3 1 4]
      [2 2 4 1]
      sage: coxeter_matrix(['C', 4])
      [1 3 2 2]
      [3 1 3 2]
      [2 3 1 4]
      [2 2 4 1]
      sage: coxeter_matrix(['D', 4])
      [1 3 2 2]
      [3 1 3 3]
      [2 3 1 2]
      [2 3 2 1]

      sage: coxeter_matrix(['E', 6])
      [1 2 3 2 2 2]
      [2 1 2 3 2 2]
      [3 2 1 3 2 2]
      [2 3 3 1 3 2]
      [2 2 2 3 1 3]
      [2 2 2 2 3 1]

      sage: coxeter_matrix(['F', 4])
      [1 3 2 2]
      [3 1 4 2]
      [2 4 1 3]
      [2 2 3 1]

      sage: coxeter_matrix(['G', 2])
      [1 6]
      [6 1]

`sage.combinat.root_system.coxeter_matrix.``coxeter_matrix_as_function`(t)

  Returns the Coxeter matrix, as a function

  INPUT:

  - `t` – a Cartan type

  EXAMPLES:

      sage: from sage.combinat.root_system.coxeter_matrix import coxeter_matrix_as_function
      sage: f = coxeter_matrix_as_function(['A',4])
      sage: matrix([[f(i,j) for j in range(1,5)] for i in range(1,5)])
      [1 3 2 2]
      [3 1 3 2]
      [2 3 1 3]
      [2 2 3 1]

### Navigation

- index
- modules |
- next |
- previous |
- Combinatorics »
- Root Systems »