{
  "id": "1503.02477",
  "version": "v1",
  "published": "2015-03-09T13:49:50.000Z",
  "updated": "2015-03-09T13:49:50.000Z",
  "title": "Representations of finite groups on modules over K-theory (with an appendix by Akhil Mathew)",
  "authors": [
    "David Treumann"
  ],
  "categories": [
    "math.RT",
    "math.AT"
  ],
  "abstract": "Let $G$ be a finite group, and let $\\mathbf{K}_p$ denote the completion at $p$ of the complex $K$-theory spectrum. $\\mathbf{K}_p$ is a commutative ring spectrum that in some ways is very similar to the usual ring $\\mathbf{Z}_p$ of $p$-adic integers. We discuss $G$-actions on $\\mathbf{K}_p$-modules, and propose to study them by analogy with the classical theory of modular representations of $G$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-09T13:49:50.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite group",
      "akhil mathew",
      "adic integers",
      "modular representations",
      "theory spectrum"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}