Zero product determined classical Lie algebras

DOI10.1080/03081080903191672zbMath1210.17013OpenAlexW2022471939WikidataQ115299902 ScholiaQ115299902MaRDI QIDQ3060030

Mateja Grašič

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1080/03081080903191672

zbMATH Keywords

skew symmetric matrixbilinear mapsymplectic involutionlinear maptranspose involutionzero product determined Lie algebra

Mathematics Subject Classification ID

Commutativity of matrices (15A27) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (17)

On Maps Determined by Zero Products ⋮ Zero product determined triangular algebras ⋮ On zero product determined algebras ⋮ Zero product determined some nest algebras ⋮ Zero product determined \(n\)-th Schrödinger algebra ⋮ Zero triple product determined matrix algebras. ⋮ Idempotent elements determined matrix algebras ⋮ Generalized derivations on unital algebras determined by action on zero products. ⋮ Zero product determined Jordan algebras, I ⋮ Maps Determined by Action on Square-Zero Elements ⋮ Zero product determined Lie algebras ⋮ A class of zero product determined Lie algebras ⋮ Multiplication algebra and maps determined by zero products ⋮ Finite dimensional zero product determined algebras are generated by idempotents ⋮ Square-zero determined matrix algebras ⋮ Zero Product Determined Jordan Algebras, II ⋮ On bilinear maps determined by rank one idempotents

Cites Work

• On bilinear maps on matrices with applications to commutativity preservers.
• Zero product determined matrix algebras
• Maps preserving zero products
• Characterizing homomorphisms and derivations on C*-algebras

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