Michael Bate, Gerhard Röhrle, Damian Sercombe, David I. Stewart
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A Construction of Pseudo-reductive Groups with Non-reduced Root Systems
We describe a straightforward construction of the pseudo-split absolutely pseudo-simple groups of minimal type with irreducible root systems of type \(BC_n\); these exist only in characteristic 2. We also give a formula for the dimensions of their irreducible modules.