Involutions and anti-automorphisms of central simple algebras
β Scribed by David W. Lewis
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 111 KB
- Volume
- 182
- Category
- Article
- ISSN
- 0022-4049
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β¦ 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.
π SIMILAR VOLUMES
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,
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.