Minimal 𝐾-types for 𝐺₂ over a 𝑝-adic field

Moy, Allen

doi:10.1090/S0002-9947-1988-0924768-X

Minimal $K$-types for $G_ 2$ over a $p$-adic field
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Trans. Amer. Math. Soc. 305 (1988), 517-529 Request permission

Abstract:

We single out certain representations of compact open subgroups of ${G_2}$ over a $p$-adic field and show they play a role in the representation theory of ${G_2}$ similar to minimal $K$-types in the theory of real groups.

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