تقرير
On the dual topology of the groups U(n)xH_n
| العنوان: | On the dual topology of the groups U(n)xH_n |
|---|---|
| المؤلفون: | Elloumi, Mounir, Günther, Janne-Kathrin, Ludwig, Jean |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory |
| الوصف: | Let $G_n=U(n)\ltimes {\mathbb H}_n $ be the semi-direct product of the unitary group acting by automorphisms on the Heisenberg group ${\mathbb H}_n$. According to Lipsman, the unitary dual $\widehat {G_n} $ of $G_n $ is in one to one correspondence with the space of admissible coadjoint orbits $\mathfrak g_n^\ddagger /G_n $ of $G_n $. In this paper, we determine the topology of the space $\mathfrak g_n^\ddagger /G_n $ and we show that the correspondence with $\widehat {G_n} $ is a homeomorphism. Comment: 49 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1702.03747 |
| رقم الأكسشن: | edsarx.1702.03747 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |