Uniqueness of twisted linear periods and twisted Shalika periods

来源 :中国科学:数学(英文版) | 被引量 : 0次 | 上传用户:michaelwf
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Let k be a local field of characteristic zero.Let π be an irreducible admissible smooth representation of GL2n(k).We prove that for all but countably many characters x\'s of GLn(k)x GLn(k),the space of x-equivariant(continuous in the archimedean case)linear functionals on π is at most one dimensional.Using this,we prove the uniqueness of twisted Shalika models.
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