Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring

DOI10.1016/j.laa.2006.03.010zbMath1161.17313OpenAlexW2107308040WikidataQ115344914 ScholiaQ115344914MaRDI QIDQ855568

Dengyin Wang, Qiu Yu

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.03.010

zbMATH Keywords

commutative ringsparabolic subalgebrasderivations of Lie algebras

Mathematics Subject Classification ID

Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25)

Related Items (11)

Automorphisms and Derivations of Certain Solvable Lie Algebras Over Commutative Rings ⋮ Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring ⋮ Lie algebra of column-finite infinite matrices: ideals and derivations ⋮ The maximal dimension of unital subalgebras of the matrix algebra ⋮ Triple and generalized triple derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring ⋮ On derivations of subalgebras of real semisimple Lie algebras ⋮ Lie triple derivation of the Lie algebra of strictly upper triangular matrix over a commutative ring ⋮ Generalized Lie triple derivations ⋮ Derivations of Certain Nilpotent Lie Algebras Over Commutative Rings ⋮ Lie triple higher derivable maps on rings ⋮ Nonlinear maps satisfying derivability on the parabolic subalgebras of the general linear Lie algebras

Cites Work

• The group of automorphisms of certain subalgebras of matrix algebras
• Automorphisms of upper triangular matrix rings
• Automorphisms of certain Lie algebras of upper triangular matrices over a commutative ring
• Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring
• Automorphisms and derivations of upper triangular matrix rings
• Derivations and Automorphisms of Nonassociative Matrix Algebras
• Automorphisms of the Lie algebra of strictly upper triangular matrices over certain commutative rings

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