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Mathematics > Representation Theory

arXiv:1812.08831 (math)
[Submitted on 20 Dec 2018]

Title:The functor of complex characters of finite groups

Authors:Mehmet Arslan, Olcay Coşkun
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Abstract:We determine the structure of the fibered biset functor sending a finite group $G$ to the complex vector space of complex valued class functions of $G$. Previously, it is studied as a biset functor by Bouc and as a $\mathbb C^\times$-fibered biset functor by Boltje and the second author. In this paper, we complete the study by considering the other choices of the fiber group. As a corollary, we obtain a (previously known) set of composition factors of the biset functor of $p$-permutation modules.
Comments: 27 pages
Subjects: Representation Theory (math.RT)
MSC classes: 19A22, 20C05, 20C20, 20J15, 18A25,
Cite as: arXiv:1812.08831 [math.RT]
  (or arXiv:1812.08831v1 [math.RT] for this version)
  https://doi.org/10.48550/arXiv.1812.08831

Submission history

From: Mehmet Arslan [view email]
[v1] Thu, 20 Dec 2018 20:29:35 UTC (31 KB)
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