تقرير
Generalized characters for glider representations of groups
| العنوان: | Generalized characters for glider representations of groups |
|---|---|
| المؤلفون: | Caenepeel, Frederik, Van Oystaeyen, Fred |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Group Theory |
| الوصف: | Glider representations can be defined for a finite algebra filtration FKG determined by a chain of subgroups 1 < G_1 < ... < G_d = G. In this paper we develop the generalized character theory for such glider representations. We give the generalization of Artin's theorem and define a generalized inproduct. For finite abelian groups G with chain 1 < G, we explicitly calculate the generalized character ring and compute its semisimple quotient. The papers ends with a discussion of the quaternion group as a first non-abelian example. Comment: 21 pages, accepted for publication in Algebras and Representation Theory |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1801.10368 |
| رقم الأكسشن: | edsarx.1801.10368 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |