{
  "id": "1409.6782",
  "version": "v1",
  "published": "2014-09-24T00:34:35.000Z",
  "updated": "2014-09-24T00:34:35.000Z",
  "title": "Representations and Cohomology of finite group schemes",
  "authors": [
    "Julia Pevtsova"
  ],
  "comment": "31 page",
  "journal": "Advances in Representation Theory of Algebras, EMS Series of Congress Reports, (2013), pp. 231-262",
  "categories": [
    "math.RT"
  ],
  "abstract": "The article covers developments in the representation theory of finite group schemes over the last fifteen years. We start with the finite generation of cohomology of a finite group scheme and proceed to discuss various consequences and theories that ultimately grew out of that result. This includes the theory of one-parameter subgroups and rank varieties for infinitesimal group schemes; the $\\pi$-points and $\\Pi$-support spaces for finite group schemes, modules of constant rank and constant Jordan type, and construction of bundles on projective varieties associated with cohomology ring of an infinitesimal group scheme $G$. In the last section we discuss varieties of elementary subalgebras of modular Lie algebras, generalizations of modules of constant Jordan type, and new constructions of bundles on projective varieties associated to a modular Lie algebra.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-24T00:34:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "16G10",
      "20G10"
    ],
    "keywords": [
      "finite group scheme",
      "modular lie algebra",
      "infinitesimal group scheme",
      "cohomology",
      "constant jordan type"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AMS",
      "journal": "Represent. Theory"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}