期刊
COMPOSITIO MATHEMATICA
卷 148, 期 6, 页码 1655-1694出版社
CAMBRIDGE UNIV PRESS
DOI: 10.1112/S0010437X12000486
关键词
metaplectic groups; theta correspondence; epsilon dichotomy
类别
资金
- NSF [DMS-0801071, DMS-0852429]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0852429] Funding Source: National Science Foundation
Using theta correspondence, we classify the irreducible representations of Mp(2n) in terms of the irreducible representations of SO2n+1 and determine many properties of this classification. This is a local Shimura correspondence which extends the well-known results of Waldspurger for n = 1.
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