# Branching rules for unramified principal series representations of GL3 over a p-adic field - Mathematics > Representation Theory

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Abstract: On restriction to the maximal compact subgroup $\mathrm{GL}3,\mathscr{R}$,an unramified principal series representation of the $p$-adic group$\mathrm{GL}3,F$ decomposes into a direct sum of finite-dimensionalirreducibles each appearing with finite multiplicity. We describe a coarserdecomposition into components which, although reducible in general, capture theequivalences between the irreducible constituents.

Author: Peter S. Campbell, Monica Nevins

Source: https://arxiv.org/