The principal series of representations of the group of $p$-adic quaternions in spaces over non-Archimedean fields
A. V. Trusov

References
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4.	I. M. Gelfand, M. I. Graev, “Predstavleniya grupp kvaternionov nad lokalno kompaktnymi i funktsionalnymi polyami”, Funkts. analiz, 2:1 (1968), 20–35