𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On some inner derivations of free Lie algebras over commutative rings

✍ Scribed by Dragomir Z̆ /kDoković

Publisher
Elsevier Science
Year
1988
Tongue
English
Weight
584 KB
Volume
119
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

On the Simplicity of Lie Algebras of Der
On the Simplicity of Lie Algebras of Derivations of Commutative Algebras
✍ David A. Jordan 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 72 KB

Let R be a commutative algebra over a field k. We prove two related results on the simplicity of Lie algebras acting as derivations of R. If D is both a Lie subalgebra and R-submodule of Der k R such that R is D-simple and either char k = 2 or D is not cyclic as an R-module or D R = R, then we show

Automorphisms of Certain Lie Algebras of
Automorphisms of Certain Lie Algebras of Upper Triangular Matrices over a Commutative Ring
✍ You'an Cao 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 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

Automorphisms of the Lie Algebra of Uppe
Automorphisms of the Lie Algebra of Upper Triangular Matrices over a Connected Commutative Ring
✍ D.Z. Dokovic 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 276 KB

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