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arXiv · 1811.04840

Support schemes for infinitesimal unipotent supergroups

Christopher M. Drupieski·Jonathan R. Kujawa
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Abstract

We investigate support schemes for infinitesimal unipotent supergroups and their representations. Our main results provide a non-cohomological description of these schemes which generalizes the classical work of Suslin, Friedlander, and Bendel. As a consequence, support schemes in this setting have the desired features of such a theory, including naturality with respect to group homomorphisms, the tensor product property, and realizability. As an application of the theory developed here, we investigate support varieties for certain finite-dimensional Hopf subalgebras of the Steenrod algebra.

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BibTeXRIS

Christopher M. Drupieski, Jonathan R. Kujawa. 2018-11-12. Support schemes for infinitesimal unipotent supergroups. https://doi.org/10.1016/j.aim.2021.107754

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