𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Involutions and anti-automorphisms of central simple algebras

✍ Scribed by David W. Lewis


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
111 KB
Volume
182
Category
Article
ISSN
0022-4049

No coin nor oath required. For personal study only.

✦ Synopsis


This paper contains results on asymmetries of anti-automorphisms of central simple algebras, following on from a recent paper of Cortella and Tignol, and also some properties of trace forms of anti-automorphisms.


πŸ“œ SIMILAR VOLUMES


Matrix Algebras with Involution and Cent
✍ Tsetska Rashkova πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 118 KB

In this paper we study central polynomials for the matrix algebra M 2n K \* with symplectic involution \* . Their form is inspired by an apporach of Formanek and Bergman for investigating matrix identities by means of commutative algebra. We continue the investigations started earlier (1999,

Generators of Central Simple Algebras
✍ Zinovy Reichstein πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 188 KB

Let A be a finite-dimensional central simple algebra and let k be a subfield of Ε½ . its center Z A . We say that z , . . . , z generate A as a central simple algebra we give a necessary and sufficient condition for A to be generated by m elements as a central simple algebra over k.