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Symmetric $k$-varieties generalize Riemannian sym\-me\-tric spaces toreductive groups defined over arbitrary fields. For most perfect fields, it isknown that symmetric $k$-varieties are in one-to-one correspondence withisomorphy classes of $k$-involutions. Therefore, it is useful to haverepresentatives of each isomorphy class in order to describe the $k$-varieties.Here we give matrix representatives for each isomorphy class of $k$-involutionsof $\text{SL}(n,k)$ in the case that $k$ is any field of characteristic 2; wealso describe fixed point groups of each type of involution.

$k$-involutions of $\text{SL}(n,k)$ over Fields of Characteristic 2