تقرير
Deformations of unitary Howe dual pairs
| العنوان: | Deformations of unitary Howe dual pairs |
|---|---|
| المؤلفون: | Ciubotaru, Dan, De Bie, Hendrik, De Martino, Marcelo, Oste, Roy |
| سنة النشر: | 2020 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory, 16S80, 16W10, 16W22, 17B10 |
| الوصف: | We study deformations of the Howe dual pairs $(\mathrm{U}(n),\mathfrak{u}(1,1))$ and $(\mathrm{U}(n),\mathfrak{u}(2|1))$ to the context of a rational Cherednik algebra $H_{1,c}(G,E)$ associated with a real reflection group $G$ acting on a real vector space $E$ of even dimension. For each pair, we show that the Lie (super)algebra structure of one partner is preserved under the deformation, which leads to a multiplicity-free decomposition of the standard module or its tensor product with a spinor space. For the case where $E$ is two-dimensional and $G$ is a dihedral group, we provide complete descriptions for the deformed pair and the relevant joint-decomposition. Comment: 27 pages, improved some notations, some clarifications were made mainly in Section 5 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2009.05412 |
| رقم الأكسشن: | edsarx.2009.05412 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |