论文标题
通过非架构的本地字段对通用线性组的元容器覆盖不可约表示的分类
Classification of irreducible representations of metaplectic covers of the general linear group over a non-archimedean local field
论文作者
论文摘要
令$ f $为非架构的本地领域。 $ gl_n(f)$,$ n \ ge0 $的不可约说明的分类是伯恩斯坦 - Zelevinsky理论的亮点之一。我们对$ gl_n(f)$,$ n \ ge0 $的Metaplectic覆盖物进行了类似的分类。
Let $F$ be a non-archimedean local field. The classification of the irreducible representations of $GL_n(F)$, $n\ge0$ in terms of supercuspidal representations is one of the highlights of the Bernstein--Zelevinsky theory. We give an analogous classification for metaplectic coverings of $GL_n(F)$, $n\ge0$.