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On the signature character of representations of p-adic general linear groups

C. Boyallian·T. Wedhorn
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Abstract

In this article we calculate the signature character of certain Hermitian representations of $GL_N(F)$ for a $p$-adic field $F$. We further give a conjectural description for the signature character of unramified representations in terms of Kostka numbers.

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C. Boyallian, T. Wedhorn. 2004-04-02. On the signature character of representations of p-adic general linear groups. https://arxiv.org/abs/math/0404023

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