{
  "id": "2207.01564",
  "version": "v1",
  "published": "2022-07-04T16:32:17.000Z",
  "updated": "2022-07-04T16:32:17.000Z",
  "title": "On Quasi Steinberg characters of Complex Reflection Groups",
  "authors": [
    "Ashish Mishra",
    "Digjoy Paul",
    "Pooja Singla"
  ],
  "comment": "14 pages. Comments welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $G$ be a finite group and $p$ be a prime number dividing the order of $G$. An irreducible character $\\chi$ of $G$ is called a quasi $p$-Steinberg character if $\\chi(g)$ is nonzero for every $p$-regular element $g$ in $G$. In this paper, we classify quasi $p$-Steinberg characters of the complex reflection groups $G(r,q,n)$. In particular, we obtain this classification for Weyl groups of type $B_n$ and type $D_n$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-04T16:32:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "20F55",
      "20C15"
    ],
    "keywords": [
      "complex reflection groups",
      "quasi steinberg characters",
      "regular element",
      "weyl groups",
      "finite group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}