A counterexample to a conjecture of Kiyota, Murai and Wada
Representation Theory
2017-05-04 v1
Abstract
Kiyota, Murai and Wada conjectured in 2002 that the largest eigenvalue of the Cartan matrix C of a block of a finite group is rational if and only if all eigenvalues of C are rational. We provide a counterexample to this conjecture and discuss related questions.
Keywords
Cite
@article{arxiv.1705.01321,
title = {A counterexample to a conjecture of Kiyota, Murai and Wada},
author = {Benjamin Sambale},
journal= {arXiv preprint arXiv:1705.01321},
year = {2017}
}
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3 pages