Nonlinear maps satisfying derivability on standard parabolic subalgebras of finite-dimensional simple Lie algebras
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Publication:3082868
DOI10.1080/03081080903402921zbMath1237.17013OpenAlexW2070971234WikidataQ115299894 ScholiaQ115299894MaRDI QIDQ3082868
Publication date: 17 March 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081080903402921
Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30) Simple, semisimple, reductive (super)algebras (17B20)
Related Items (10)
Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras ⋮ Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras ⋮ 2-local automorphisms on finite-dimensional Lie algebras ⋮ 2-local automorphisms on semisimple \(\mathcal{L}^\ast\)-algebras ⋮ Nonlinear mappings on full matrices derivable at zero point ⋮ 2-local automorphisms on basic classical Lie superalgebras ⋮ Nonlinear mappings on upper triangular matrices derivable at zero point ⋮ 2-local automorphisms of finite-dimensional simple Lie algebras ⋮ Nonlinear anti-commuting maps of strictly triangular matrix Lie algebras ⋮ Nonlinear maps satisfying derivability on the parabolic subalgebras of the general linear Lie algebras
Cites Work
- Near-derivations in Lie algebras
- Generalized derivations of Lie algebras
- On the cohomology of infinite dimensional nilpotent Lie algebras
- Lie algebra cohomology and the generalized Borel-Weil theorem
- Cohomology Theorems for Borel-Like Solvable Lie Algebras in Arbitrary Characteristic
- Nonlinear Lie derivations on upper triangular matrices
- On Derivations of Lie Algebras
- Introduction to Lie Algebras and Representation Theory
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