From: Extending Snow’s algorithm for computations in the finite Weyl groups
\(N^{o}\) | Weight | Element | Matrix | Inverse |
---|---|---|---|---|
\(\begin{array}{c} 14 \\ (14) \end{array}\) | 1, 1, −3, −3 | \(\begin{array}{c} s_{4}s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3} \end{array}\) | \( \begin{bmatrix} 0 & 1 & -1 & -1 \\ 1 & 0 & -1 & -1 \\ 0 & 0 & -1 & 0 \\ 0 & 0 & 0 & -1 \end{bmatrix} \) | \(\begin{array}{c} s_{4}s_{3}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3} \end{array}\) |
\(\begin{array}{c} 15 \\ (9) \end{array}\) | 3, −1, −1, −3 | \(\begin{array}{c} s_{4}s_{3}s_{2}s_{4}s_{3}s_{2}s_{1}s_{2}s_{4} \end{array}\) | \( \begin{bmatrix} 0 & 0 & 1 & -1 \\ -1 & 0 & 1 & -1 \\ 0 & -1 & 1 & 0 \\ 0 & 0 & 0 & -1 \end{bmatrix} \) | \(\begin{array}{c} s_{4}s_{2}s_{4}s_{3}s_{1}s_{2}s_{4}s_{3}s_{2} \end{array}\) |