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Automorphisms of the Lie Algebra of Upper Triangular Matrices over a Connected Commutative Ring

โœ Scribed by D.Z. Dokovic

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
276 KB
Volume
170
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

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.

๐Ÿ“œ SIMILAR VOLUMES

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