Let A be a finite-dimensional central simple algebra and let k be a subfield of Ž . 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.
Some Simple Subalgebras of Generalized Block Algebras
✍ Scribed by Dragomir Ž. Đoković; Kaiming Zhao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 344 KB
- Volume
- 192
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
In a recent paper by Xu, some simple Lie algebras of generalized Cartan type were constructed, using the mixtures of grading operators and down-grading operators. Among them are the simple Lie algebras of generalized Witt type, which are in general nongraded and have no torus. In this paper, some re
A conjecture of Michel Broue states that if D is an abelian Sylow p-subgroup of ´Ž . a finite group G, and H s N D , then the principal blocks of G and H are G Rickard equivalent. The structure of groups with abelian Sylow p-subgroups, as determined by P. Fong and M. E. Harris, raises the following
We construct four new series of generalized simple Lie algebras of Cartan type, using the mixtures of grading operators and down-grading operators. Our results in this paper are further generalizations of those in Osborn's work (J. Algebra 185 (1996), 820-835).