Let A be a finite-dimensional central simple algebra and let k be a subfield of ลฝ . 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.
โฆ LIBER โฆ
Generating graded central simple algebras
โ Scribed by Lieven Le Bruyn
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 856 KB
- Volume
- 268
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
โฆ Synopsis
We solve the generator problem for Z-graded central simple algebras. Applications are given to automorphisms of traee rings of generic matrices and to periodic fat-point modules.
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