| Autor: |
Jeffrey Adams, Rebecca Herb |
| Předmět: |
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| Zdroj: |
Representation Theory; Feb2010, Vol. 14 Issue 3, p70-147, 78p |
| Abstrakt: |
One aspect of the Langlands program for linear groups is the lifting of characters, which relates virtual representations on a group $G$ with those on an endoscopic group for $G$. The goal of this paper is to extend this theory to nonlinear two-fold covers of real groups in the simply laced case. Suppose $widetilde G$ is a two-fold cover of a real reductive group $G$. A representation of $widetilde G$ is called genuine if it does not factor to $G$. The main result is that there is an operation, denoted $text {Lift}_G^{widetilde G}$, taking a stable virtual character of $G$ to a virtual genuine character of $widetilde G$, and $text {Lift}_G^{widetilde G}(Theta _pi )$ may be explicitly computed if $pi $ is a stable sum of standard modules. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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