Commutators in classical Lie algebras

DOI10.1016/0024-3795(90)90258-EzbMath0714.17006WikidataQ115364339 ScholiaQ115364339MaRDI QIDQ750582

Ralf Hirschbühl

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

algorithmslower boundssymplectic Lie algebrasadditive commutatoreven orthogonal Lie algebrasnumber of elements in the fieldodd orthogonal Lie algebrasspecial linear Lie algebras

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Hermitian, skew-Hermitian, and related matrices (15B57) Simple, semisimple, reductive (super)algebras (17B20)

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Cites Work

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• On matrices of trace zero
• Commutators of matrices with coefficients from the field of two elements
• Commutators in the Special and General Linear Groups
• On Commutators in a Simple Lie Algebra
• Commutators of Matrices with Prescribed Determinant