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A first characterization of the isomorphism classes of -involutions for any reductive algebraic groups defined over a perfect field was given by Helminck in 2000 using invariants. In 2004, Helminck, Wu, and Dometrius gave a full classification of all involutions on for algebraically closed, the real numbers, the -adic numbers or a finite field was provided. In this paper, we build on these results to develop a detailed characterization of the involutions of . We use these results to classify the isomorphy classes of involutions of where is any field not of characteristic 2.

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