تقرير
Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction
| العنوان: | Construction of discrete series representations of $SO_{e}(4, 1)$ via algebraic Dirac induction |
|---|---|
| المؤلفون: | Prlić, Ana |
| المصدر: | Comm. Algebra, 48 (2020), 2442-2460 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Representation Theory |
| الوصف: | The notion of algebraic Dirac induction was introduced by P. Pand\v{z}i\'{c} and D. Renard. This is a construction which gives representations with prescribed Dirac cohomology. They proved that all holomorphic discrete series representations can be constructed via Dirac induction. All discrete series representations of the group $SO_{e}(4,1)$ are nonholomorphic. In this paper we prove that they can also be constructed using algebraic Dirac induction. Comment: 20 pages, 3 figures, v4: revised version (e.g. minor typos fixed, figures added), to appear in Communications in Algebra |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1811.01610 |
| رقم الأكسشن: | edsarx.1811.01610 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |