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Gamma factors and quadratic extension over finite fields

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This paper characterizes $${\mathrm {GL}}_n({\mathbb {F}}_q )$$GLn(Fq)-distinguished cuspidal representations of $${\mathrm {GL}}_n({\mathbb {F}}_{q^2})$$GLn(Fq2) in terms of the special values of their twisted gamma factors. Click to show full abstract

This paper characterizes $${\mathrm {GL}}_n({\mathbb {F}}_q )$$GLn(Fq)-distinguished cuspidal representations of $${\mathrm {GL}}_n({\mathbb {F}}_{q^2})$$GLn(Fq2) in terms of the special values of their twisted gamma factors.

Keywords: factors quadratic; quadratic extension; gamma factors; extension finite; finite fields

Journal Title: manuscripta mathematica
Year Published: 2019

Link to full text (if available)


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