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Table 4 Weyl group \(D_{4}\), level 0, element e

From: Extending Snow’s algorithm for computations in the finite Weyl groups

\(N^{o}\)

Weight

Element

Matrix

0

1, 1, 1, 1

e

\( \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix} \)