Nonlinear maps satisfying derivability on the parabolic subalgebras of the general linear Lie algebras
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Publication:2879643
DOI10.1080/03081087.2011.574627zbMath1290.17014OpenAlexW2017570730WikidataQ115299814 ScholiaQ115299814MaRDI QIDQ2879643
Publication date: 29 March 2012
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2011.574627
Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (3)
Nonlinear Lie-type derivations on full matrix algebras. ⋮ Nonlinear mappings on full matrices derivable at zero point ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point
Cites Work
- Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring
- Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring
- Automorphisms of upper triangular matrix rings
- Automorphisms of matrix algebras over commutative rings
- Derivations of upper triangular matrix rings
- A note on algebra automorphisms of strictly upper triangular matrices over commutative rings
- Automorphisms and derivations of upper triangular matrix rings
- Generalized Lie triple derivations
- Nonlinear maps satisfying derivability on standard parabolic subalgebras of finite-dimensional simple Lie algebras
- Nonlinear Maps on Simple Lie Algebras Preserving Lie Products
- Maps on upper triangular matrices preserving Lie products
- Nonlinear Lie derivations on upper triangular matrices
- Diffrential polynomial rings and morita equivalence
- Derivations of the intermediate Lie algebras between the Lie algebra of diagonal matrices and that of upper triangular matrices over a commutative ring
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