Clifford algebras for algebras with involution of type D
β Scribed by N Jacobson
- Publisher
- Elsevier Science
- Year
- 1964
- Tongue
- English
- Weight
- 701 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
The centers of the generic central simple algebras with involution are interesting objects in the theory of central simple algebras. These fields also arise as invariant fields for linear actions of projective orthogonal or symplectic groups. In this paper, we prove that when the characteristic is n
Let D be a division algebra of degree 3 over its center K and let J be an involution of the second kind on D. Let F be the subfield of K of elements invariant under J, char F / 3. We present a simple proof of a theorem of A. Albert on the existence of a maximal subfield of D which is Galois over F w