Some genuine small representations of a nonlinear double cover

研究成果: 雜誌貢獻期刊論文同行評審

3 引文 斯高帕斯(Scopus)

摘要

Let G be the real points of a simply connected, semisimple, simply laced complex Lie group, and let G be the nonlinear double cover of G. We discuss a set of small genuine irreducible representations of G which can be characterized by the following properties: (a) the infinitesimal character is ρ/2; (b) they have maximal τ-invariant; (c) they have a particular associated variety O. When G is split, we construct them explicitly. Furthermore, in many cases, there is a one-to-one correspondence between these small representations and the pairs (genuine central characters of G, real forms of O) via the map π → (χπ,AV (π)).

原文???core.languages.en_GB???
頁(從 - 到)5309-5340
頁數32
期刊Transactions of the American Mathematical Society
371
發行號8
DOIs
出版狀態已出版 - 2019

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