On the acceptable elements
classification
🧮 math.AG
math.NTmath.RT
keywords
elementacceptableelementsgroupmaximaladicadmissibleassociated
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In this paper, we study the set $B(G, \{\mu\})$ of acceptable elements for any $p$-adic group $G$. We show that $B(G, \{\mu\})$ contains a unique maximal element and the maximal element is represented by an element in the admissible subset of the associated Iwahori-Weyl group.
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