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arXiv · 1702.04831

Cohomology of unipotent group schemes

Eric M. Friedlander
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Abstract

We verify that universal classes in the cohomology of $GL_N$ 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 $(U_3)_{(r)}$ of the Heisenberg group $U_3 \subset GL_3$.

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Eric M. Friedlander. 2017-02-16. Cohomology of unipotent group schemes. https://arxiv.org/abs/1702.04831

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