Branching rules for unramified principal series representations of GL(3) over a p-adic field

2007/10/17 by Peter S. Campbell, Campbell, Peter S., Monica Nevins +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.0710.3261

Abstract

On restriction to the maximal compact subgroup GL(3,\mathscrR), an unramified principal series representation of the p-adic group GL(3,F) decomposes into a direct sum of finite-dimensional irreducibles each appearing with finite multiplicity. We describe a coarser decomposition into components which, although reducible in general, capture the equivalences between the irreducible constituents.

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