Semisimple commutative algebras with positive bases

DOI10.1006/jabr.1998.7553zbMath0943.20009OpenAlexW1987863621MaRDI QIDQ1276987

David Chillag

Publication date: 21 October 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1998.7553

zbMATH Keywords

conjugacy classesgroup algebrasfinite groupsfinite-dimensional algebrasirreducible complex charactersBrauer characterscenters\(C\)-algebrastable algebrasprincipal indecomposable charactersvalues of characters

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Association schemes, strongly regular graphs (05E30) Ordinary representations and characters (20C15) Modular representations and characters (20C20) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30)

Related Items (1)

Primitive normal matrices and covering numbers of finite groups.

Cites Work

• On table algebras and applications to finite group theory
• Table algebras and applications to products of characters in finite groups
• Nonnegative matrices, Brauer characters, normal subsets, and powers of representation modules
• Regular representations of semisimple algebras, separable field extensions, group characters, generalized circulants, and generalized cyclic codes
• Proof of a conjecture about the exponent of primitive matrices
• Bounds on the exponent of primitivity which depend on the spectrum and the minimal polynomial
• Shorter Notes: Character Values of Finite Groups as Eigenvalues of Nonnegative Integer Matrices
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