Eigenvector matrices of Cartan matrices for finite groups.

DOI10.1016/J.JALGEBRA.2006.07.018zbMath1119.20014OpenAlexW2010313971MaRDI QIDQ876397

Tomoyuki Wada

Publication date: 18 April 2007

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.07.018

zbMATH Keywords

group algebrasCartan matricesdefect groupsblocks\(p\)-modular systemsBrauer correspondentsPerron-Frobenius eigenvalues

Mathematics Subject Classification ID

Modular representations and characters (20C20) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (4)

A counterexample to a conjecture of Wada ⋮ Eigenvalues of Cartan matrices of principal 3-blocks of finite groups with Abelian Sylow 3-subgroups. ⋮ Eigenvalues of Cartan matrices of principal 2-blocks with Abelian defect groups. ⋮ ON THE FROBENIUS–PERRON EIGENVALUES OF CARTAN MATRICES FOR SOME FINITE GROUPS

Cites Work

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• Sone remarks on eigeyvalues of the cartan matrix in finite groups
• Morita Equivalent 3-Blocks of the 3-Dimensional Projective Special Linear Groups
• Brauer correspondence for covering blocks of finite groups

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