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Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring by You'an Cao is a Mathematics article available to read on EtoBox.
What is Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring about?
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 group of the Lie algebra t, which extends a result given by Dokovic. In addition, we explicitly describe the automorphism group of the Lie algebra b when n is a unit of R.
Who reads Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- You'an Cao
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0021-8693)
- Published
- 1997
- Language
- EN
- Field
- Mathematics (Physical Sciences)