Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring

DOI10.1016/J.LAA.2008.06.032zbMath1163.17014OpenAlexW1963535312WikidataQ115344883 ScholiaQ115344883MaRDI QIDQ957996

Hengtai Wang, Qing-Guo Li

Publication date: 2 December 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.06.032

zbMATH Keywords

Lie algebraLie triple derivationupper triangular matrix

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Solvable, nilpotent (super)algebras (17B30)

Related Items (17)

Triple automorphisms of simple Lie algebras ⋮ Nonlinear Lie triple derivations on parabolic subalgebras of finite-dimensional simple Lie algebras ⋮ Triple derivations on parabolic subalgebras of Kac-Moody algebras ⋮ Lie triple derivations of unital algebras with idempotents ⋮ Lie triple derivations of nest algebras on Banach spaces ⋮ Generalized Lie derivations on skew elements of prime algebras with involution. ⋮ Lie triple derivations of triangular algebras. ⋮ Lie triple derivations on \(\mathcal{J}\)-subspace lattice algebras ⋮ On generalized Jordan prederivations and generalized prederivations of Lie superalgebras ⋮ Triple and generalized triple derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring ⋮ On generalized Lie derivations of Lie ideals of prime algebras. ⋮ N-Derivations for Finitely Generated Graded Lie Algebras ⋮ Generalized Lie triple derivations ⋮ Linear Lie centralizers of the algebra of strictly block upper triangular matrices ⋮ Lie triple derivations on the parabolic subalgebras of simple Lie algebras ⋮ Linear Lie centralizers of the algebra of dominant block upper triangular matrices ⋮ Nonlinear Lie triple derivations of triangular algebras

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 the Lie algebra of upper triangular matrices over a connected commutative ring
• Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
• A note on algebra automorphisms of strictly upper triangular matrices over commutative rings
• Lie triple derivations of TUHF algebras
• Lie triple derivations of nest algebras

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