On classification of typical representations for GL3(F)-Reference-Cited by-同舟云学术

On classification of typical representations for GL3(F)

Author:

Nadimpalli Santosh^ORCID

Abstract

Abstract Let F be any non-Archimedean local field with residue field of cardinality

{q_{F}}

. In this article, we obtain a classification of typical representations for the Bernstein components associated to the inertial classes of the form

{[\operatorname{GL}_{n}(F)\times F^{\times},\sigma\otimes\chi]}

with

{q_{F}>2}

, and for the principal series components with

{q_{F}>3}

. With this we complete the classification of typical representations for

{\operatorname{GL}_{3}(F)}

, for

{q_{F}>2}

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

Reference34 articles.

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