Automorphisms of the Lie algebra of strictly upper triangular matrices over a commutative ring

DOI10.1016/S0024-3795(02)00446-9zbMath1015.17017OpenAlexW2042051921WikidataQ115340024 ScholiaQ115340024MaRDI QIDQ1863524

Zuowen Tan, You'an Cao

Publication date: 11 March 2003

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(02)00446-9

zbMATH Keywords

Lie algebraautomorphismsassociative algebra of strictly upper triangular matrices

Mathematics Subject Classification ID

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

Related Items (15)

AUTOMORPHISMS OF CERTAIN NILPOTENT LIE ALGEBRAS OVER COMMUTATIVE RINGS ⋮ Derivations of the parabolic subalgebras of the general linear Lie algebra over a commutative ring ⋮ Infra-nilmanifolds modeled on the group of uni-triangular matrices ⋮ The group of commutativity preserving maps on strictly upper triangular matrices ⋮ Automorphisms of a linear Lie algebra over a commutative ring ⋮ Derivations of the Lie algebra of strictly upper triangular matrices over a commutative ring ⋮ Unnamed Item ⋮ Automorphisms of the standard Borel subgroup of orthogonal group \(O(2m,R)\) over commutative rings. ⋮ Invariants of solvable Lie algebras with triangular nilradicals and diagonal nilindependent elements ⋮ Automorphisms of the standard Borel subalgebra of Lie algebra ofC_mtype over a commutative ring ⋮ Maps preserving square-zero matrices on the algebra consisting of all upper triangular matrices ⋮ Automorphisms of a nilpotent Lie algebra over a commutative ring ⋮ Nonlinear bijective maps on strictly upper triangular matrices preserving zero product ⋮ Automorphisms of the standard Borel subgroup of the symplectic group over a commutative ring ⋮ The derivation Lie algebra of the higher rank Virasoro-like algebra and its automorphism groups

Cites Work

• Unnamed Item
• The group of automorphisms of certain subalgebras of matrix algebras
• A note on algebra automorphisms of triangular matrices over commutative rings
• Automorphisms of upper triangular matrix rings
• Automorphisms of matrix algebras over commutative rings
• 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
• Automorphisms and derivations of upper triangular matrix rings
• Automorphisms of certain unipotent groups
• 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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