On some p-adic and mod p representations of quaternion algebra over ℚ_p

2023/01/15 by Hu, Yongquan, Wang, Haoran
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2301.06053

Abstract

Let D be the non-split quaternion algebra over ℚ_p. We prove that a class of admissible unitary Banach space representations of D^× of global origin are topologically of finite length.

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