The structure of the Hecke algebras of $GL_2(F_q)$ relative to the split torus andits normalizer \betak}

  • Mori Yoshiyuki
    Department of Applied Mathmatics, Okayama University of Science

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説明

Let $A$ be the subgroup of $G=GL_2(F_q)$ consisting of diagonal matrices.We study the structure of the Hecke algebra $\CAGA$ of $G$ relative to $A$.In particular, we determine the multiplication table of $\CAGA$ with respect to thestandard basis.As an application, we describe the multiplication table of the Hecke algebra$\CHGH$ where $H$ is the normalizer of $A$ in $G$.

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詳細情報 詳細情報について

  • CRID
    1571698601744946688
  • NII論文ID
    110000016506
  • NII書誌ID
    AA00664323
  • ISSN
    00182079
  • 本文言語コード
    en
  • データソース種別
    • CiNii Articles

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