Central Graded Division Algebras
โ Scribed by M.C. Kang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 728 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
If D is a tame central division algebra over a Henselian valued field F, then the valuation on D yields an associated graded ring GD which is a graded division ring and is also central and graded simple over GF. After proving some properties of graded central simple algebras over a graded field (inc
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.
The octonion torus (or Cayley torus) appears as a coordinate algebra of extended affine Lie algebras of type A 2 and F 4 . A generalized version of the octonion torus, called division Z n -graded alternative algebras, is classified in this paper. Using the result, we can complete the classification