Iwahori component of Bessel model spaces

Chan, Kei Yuen; Savin, Gordan

doi:10.1090/proc/14903

Iwahori component of Bessel model spaces
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Proc. Amer. Math. Soc. 148 (2020), 1487-1497 Request permission

Abstract:

Let $k_0$ be a $p$-adic field of odd residual characteristic, and let $G$ be a special orthogonal group defined as acting on a split $2n+1$-dimensional orthogonal space $V$ over $k_0$. Let $H$ be the Iwahori Hecke algebra of $G$. A purpose of this short article is to compute the Iwahori component of special Bessel model spaces of $G$ and identify them with explicit projective $H$-modules.

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