Let G be a group, F a field, and A a finite-dimensional central simple algebra over F on which G acts by F-algebra automorphisms. We study the subalgebras and ideals of A which are preserved by the group action. We prove a structure theorem and two classification theorems for invariant subalgebras u
On the corestriction of central simple algebras
β Scribed by Jean-Pierre Tignol
- Publisher
- Springer-Verlag
- Year
- 1987
- Tongue
- French
- Weight
- 291 KB
- Volume
- 194
- Category
- Article
- ISSN
- 0025-5874
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π SIMILAR VOLUMES
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.
In this article, we investigate (up to Q) the values of the standard Lfunction L M m (K) (s, Ξ¨ ) of the algebra M m (K) over a CM-field K attached to a certain Hecke character of K (defined through a Hecke character Ο of the maximal totally real subfield F of K) at s = (k + 2n)/Ξ·(k); where m k β Z i