Hadamard algebras.

DOI10.1134/S0001434614070207zbMath1315.16019OpenAlexW4255697567MaRDI QIDQ2342355

D. N. Ivanov

Publication date: 11 May 2015

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

Full work available at URL: https://doi.org/10.1134/s0001434614070207

zbMATH Keywords

Hadamard matricessemisimple algebrasHadamard algebrasHadamard decompositions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Finite rings and finite-dimensional associative algebras (16P10) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Algebraic systems of matrices (15A30)

Related Items (3)

Irreducible characters of Hadamard algebras ⋮ Degrees of irreducible characters and dimensions of Hadamard algebras. ⋮ Hadamard decompositions of nearly commutative algebras

Cites Work

• The dimension of a Hadamard algebra is divisible by 4
• Orthogonal decompositions of associative algebras, and balanced systems of idempotents
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