p-adic Hodge parameters in the crystabelline representations of GL₃(ℚ_p)

2024/04/25 by Ding, Yiwen
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2404.16657

Abstract

We build a one-to-one correspondence between 3-dimensional (generic) crystabelline representations of the absolute Galois group of ℚ_p and certain locally analytic representations of GL₃(ℚ_p). We show that the correspondence can be realized in subspaces of p-adic automorphic representations.

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