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Automorphisms of algebras of upper triangular matrices

✍ Scribed by George Phillip Barker; Thomas P. Kezlan


Book ID
112497097
Publisher
Springer
Year
1990
Tongue
English
Weight
271 KB
Volume
55
Category
Article
ISSN
0003-889X

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πŸ“œ SIMILAR VOLUMES


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✍ You'an Cao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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

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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

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✍ Chongguang Cao; Zhang Xian πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 297 KB

Suppose R is a ring with 1 and C a central subring of R. Let T,(R) be the C-algebra of upper triangular n x n matrices over R. Recently several authors have shown that if R is sufficiently well behaved, then every C-automorphism of T,,(R) is the composites of an inner automorphism and an automorphis