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
Outer Automorphisms of Upper Triangular Matrices
β Scribed by J.S. Maginnis
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 150 KB
- Volume
- 161
- Category
- Article
- ISSN
- 0021-8693
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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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