Second cohomology groups for frobenius kernels
Wright, Caroline B.
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Let G be a simple simply connected algebraic group scheme defined over an algebraically closed field of characteristic p > 0. Let T be a maximal split torus in G, B T be a Borel subgroup of G and U its unipotent radical. Let F : G G be the Frobenius morphism. Forr 1 define the Frobenius kernel, Gr, to be the kernel of F iterated with itself r times. Define Ur (respectively Br) to be the kernel of the Frobenius map restricted to U (respectively B). Let X(T) be the integral weight lattice and X(T)+ be the dominant integral weights.