𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Automorphisms of matrix algebras over commutative rings

✍ Scribed by I.M. Isaacs


Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
891 KB
Volume
31
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Automorphisms of Certain Lie Algebras of
✍ You'an Cao πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 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
✍ D.Z. Dokovic πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 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

Lie Centre-by-Metabelian Group Algebras
✍ Richard Rossmanith πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 77 KB

Lie centre-by-metabelian group algebras over fields have been classified by various authors. This classification is extended to group algebras over commutative rings.  2002 Elsevier Science (USA)

Duality and Rational Modules in Hopf Alg
✍ J.Y Abuhlail; J GΓ³mez-Torrecillas; F.J Lobillo πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 155 KB

Let A be an algebra over a commutative ring R. If R is noetherian and A β€’ is pure in R A , then the categories of rational left A-modules and right A β€’ -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con

X-Inner Automorphisms of Semi-Commutativ
✍ Jeffrey Bergen; Mark C Wilson πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 156 KB

Many important quantum algebras such as quantum symplectic space, quantum Euclidean space, quantum matrices, q-analogs of the Heisenberg algebra, and the quantum Weyl algebra are semi-commutative. In addition, enveloping algebras U L + of even Lie color algebras are also semi-commutative. In this pa