An analogue of Wagner's theorem for decompositions of matrix algebras

DOI10.1070/SM2004V195N11ABEH000857zbMath1109.16026OpenAlexW2070219219MaRDI QIDQ5693788

D. N. Ivanov

Publication date: 28 September 2005

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm2004v195n11abeh000857

zbMATH Keywords

finite-dimensional algebrasdirect sumsmatrix algebrassimple Lie algebrastranslation planessemisimple algebrasalgebras of matricesorthogonal decompositionsHadamard 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) Simple, semisimple, reductive (super)algebras (17B20) Translation planes and spreads in linear incidence geometry (51A40)

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