A Correspondence for the Generalized Hecke Algebra of the Metaplectic Cover Sl(2; F ), F P-adic
نویسنده
چکیده
We prove, using a technique developed for GL(n) in Howe and Moy H], a bijection between generalized Hecke algebras of G = SL(2; F) over a p-adic eld and those of its n-fold metaplectic cover G. This result implies that there is a canonical correspondence between irreducible admissible representations of G and genuine irreducible admissible representations of G of \suuciently large level" (depending on n; p).
منابع مشابه
A Correspondence for the Generalized Hecke Algebra of the Metaplectic Cover of SL(2,F), F p-adic
We prove using a technique developed for GL n in Howe and Moy H a bijection between generalized Hecke algebras of G SL F over a p adic eld and those of its n fold metaplectic cover G This result implies that there is a canonical correspondence between irreducible admissible representations of G and genuine irreducible admissible representations of G of su ciently large level depending on n p
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