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
Automorphisms of algebras of upper triangular matrices
β 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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π SIMILAR VOLUMES
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
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