تقرير
Generalized characters for glider representations of groups
العنوان: | Generalized characters for glider representations of groups |
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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. |