Weakly positive representations

Weakly positive representations
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DOI:
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发表时间:
2020
期刊:
影响因子:
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通讯作者:
Tengren Zhang
Tengren Zhang
中科院分区:
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文献类型:
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作者:
Sungwoon Kim;S. Tan;Tengren Zhang

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在这篇文章中,我们发展了一种新的技巧来构造从$F2$到$mathm{pgl}(V)$的本原稳定表示。作为结果,我们给出了从$F2$到$mathm{pgl}(V)$的非离散的本原稳定表示的新例子。对于任何本原稳定表示$j:F2 omathrm{pgl}2(Mathbb R)$和任何不可约表示$iota:mathrm{pgl}2(Mathbb R)omathrm{pgl}(V)$,我们还刻画了$iotacirc j$的$mathm{Hom}(F_2,mathm{pgl}(V))$中仅包含本原稳定表示的显式邻域.
In this article, we develop a new technique to construct primitive stable representations from $F_2$ to $mathrm{PGL}(V)$. As a consequence, we produce new examples of non-discrete, primitive stable representations from $F_2$ to $mathrm{PGL}(V)$. For any primitive stable representation $j:F_2 omathrm{PGL}_2(mathbb R)$ and any irreducible representation $iota:mathrm{PGL}_2(mathbb R) omathrm{PGL}(V)$, we also describe explicit neighborhoods in $mathrm{Hom}(F_2,mathrm{PGL}(V))$ of $iotacirc j$ that consists only of primitive stable representations.
DOI: 10.1016/j.aim.2019.106901
发表时间: 2020
影响因子: 1.7
作者:
Bridgeman, Martin;Canary, Richard;Labourie, François
通讯作者: Labourie, François