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The main purpose of this note is to correct the statement of [ 5 , Lemma 8.2]. The source of the mistake was an erroneous result in a previous article, namely [ 4 , Lemma 11.12.3]. This note proves corrected versions of both lemmas, and provides counterexamples to the original statements.

Correction to “On Satake parameters for representations with parahoric fixed vectors”