{
  "id": "2305.11447",
  "version": "v1",
  "published": "2023-05-19T05:56:56.000Z",
  "updated": "2023-05-19T05:56:56.000Z",
  "title": "A note on Samelson product in $Sp(n)$",
  "authors": [
    "Sajjad Mohammadi"
  ],
  "comment": "12pages. arXiv admin note: text overlap with arXiv:2204.08867",
  "categories": [
    "math.AT"
  ],
  "abstract": "Let $m$ and $n$ be two positive integers such that $m < n$. Let $Q_{n-m+1}$ be the symplectic quasi-projective space of rank $n-m+1$. In this article, we will study the order of the Samelson product $S^{4m-1}\\wedge Q_{n-m+1}\\rightarrow Sp(n)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-05-19T05:56:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "samelson product",
      "symplectic quasi-projective space",
      "positive integers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}