Degrees of irreducible characters and dimensions of Hadamard algebras.

DOI10.1134/S0001434615070275zbMath1327.16011OpenAlexW1274850685MaRDI QIDQ887499

D. N. Ivanov

Publication date: 26 October 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615070275

zbMATH Keywords

finite-dimensional algebrasdirect sumsHadamard matricesmatrix algebrasirreducible characterssemisimple algebrasorthogonal decompositionsHadamard algebrasHadamard decompositions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Algebraic systems of matrices (15A30)

Related Items (3)

Irreducible characters of Hadamard algebras ⋮ Hadamard decompositions of nearly commutative algebras ⋮ Orthogonal bases of involution in Hadamard algebras

Cites Work

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• Hadamard algebras.
• Hadamard algebras possessing a unique noncommutative simple component.
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• Orthogonal decompositions of associative algebras, and balanced systems of idempotents
• Адамаровы разложения полупростых ассоциативных алгебр

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