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The centers of generic division algebras with involution

โœ Scribed by Allan Berele; David J. Saltman

Book ID
112887040
Publisher
The Hebrew University Magnes Press
Year
1988
Tongue
English
Weight
937 KB
Volume
63
Category
Article
ISSN
0021-2172

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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

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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