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Let K be an algebraically closed field of characteristic zero, and let G be a connected reductive algebraic group over K. We address the problem of classifying triples (G, H, V ), where H is a proper connected subgroup of G, and V is a finitedimensional ir ...
Let G be a simple algebraic group defined over an algebraically closed field k of characteristic p > 0. For p ≥ h, the Coxeter number of G, any regular unipotent element of G lies in an A1-subgroup of G; there is a unique G-conjugacy class of such subgroup ...
Let k be an algebraically closed field of positive characteristic and G a simple algebraic group over k. Under the assumption that the characteristic is a good prime for G, we determine which unipotent elements u ∈ G, with u of order p, satisfy the propert ...
