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
Decomposition of Lie automorphisms of upper triangular matrix algebra over commutative rings
โ Scribed by Xing Tao Wang; Hong You
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 140 KB
- Volume
- 419
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ 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
Let N n+1 (R) be the algebra of all strictly upper triangular n + 1 by n + 1 matrices over a 2-torsionfree commutative local ring R with identity. In this paper, we prove that any Jordan automorphism of N n+1 (R) can be uniquely written as a product of a graph automorphism, a diagonal automorphism,