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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Partially supported by the Simons Foundation.
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Presented by: Jon F. Carlson
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Friedlander, E.M. Cohomology of Unipotent Group Schemes. Algebr Represent Theor 22, 1427–1455 (2019). https://doi.org/10.1007/s10468-018-9827-z
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DOI: https://doi.org/10.1007/s10468-018-9827-z