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

โœ Scribed by Shikun Ou; Dengyin Wang; Ruiping Yao

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
119 KB
Volume
424
Category
Article
ISSN
0024-3795

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๐Ÿ“œ SIMILAR VOLUMES

Automorphisms of the Lie Algebra of Uppe
Automorphisms of the Lie Algebra of Upper Triangular Matrices over a Connected Commutative Ring
โœ D.Z. Dokovic ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 276 KB

Let \(R\) be a non-trivial commutative ring having no idempotents except 0 and 1 . Denote by \(t\) the Lie algebra over \(R\) consisting of all upper triangular \(n\) by \(n\) matrices over \(R\). We give an explicit description of the automorphism group of this Lie algebra. 1994 Academic Press, Inc

Automorphisms of Certain Lie Algebras of
Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring
โœ You'an Cao ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 187 KB

Let R be an arbitrary commutative ring with identity. Denote by t the Lie algebra over R consisting of all upper triangular n by n matrices over R and let b be the Lie subalgebra of t consisting of all matrices of trace 0. The aim of this paper is to give an explicit description of the automorphism