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Sia un'algebra di quaternioni indefinita su di discriminante divisibile per un primo . Introduciamo lo spazio delle forme automorfe quaternioniche di livello e l'algebra degli operatori di Hecke che vi agisce. Utilizzando la corrispondenza di Jacquet-Langlands mostriamo che quest'algebra è un quoziente di un'algebra di Hecke classica (privata dell'operatore ). Ne deduciamo proprietà di finitezza e di compatibilità per cambiamento di base per l'algebra di Hecke quaternionica.
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