Table 1: The boson “up” linkage matrices for the left 4-4 Valise Adinkra shown in Figure 1. The up matrices for the right Adinkra in that figure are obtained from these by changing the sign of 𝑢 3 .
𝑢 1 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 1 1 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑢 2 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ 1 − 1 − 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠
𝑢 3 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ − 1 − 1 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠ 𝑢 4 = ⎛ ⎜ ⎜ ⎜ ⎜ ⎝ − 1 1 − 1 1 ⎞ ⎟ ⎟ ⎟ ⎟ ⎠