Abstract
We verify that universal classes in the cohomology of GLN determine explicit cohomology classes of Frobenius kernels G(r) of various linear algebraic groups G. We consider the relationship of $\varprojlim _{r} H^{*}(U_{(r)},k)$ to the rational cohomology H*(U,k) of many unipotent algebraic groups U. The second half of this paper investigates in detail the cohomology of Frobenius kernels (U3)(r) of the Heisenberg group U3 ? GL3.
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