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

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概要

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• 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 $G$.

• 広島大学の論文

著者

• Mori Yoshiyuki

  Department Of Applied Mathmatics Okayama University Of Science

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