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In this paper, we investigate how the Zelevinsky involution appears in thel-adic cohomology of the Rapoport-Zink tower. We generalize the result ofFargues on the Drinfeld tower to the Rapoport-Zink towers for symplecticsimilitude groups.

Zelevinsky involution and l-adic cohomology of the Rapoport-Zink tower