A Weak Hasse Principle for Central Simple Algebras with an Involution
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2001
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HOFFMAN, J. William, ed. and others. Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001. Bielefeld, 2001, pp. 241-251. Documenta mathematica. 2001,1
Zusammenfassung
The notions of totally indefinite and weakly isotropic algebras with involution are introduced and a proof is given of the fact that a field satisfies the Effective Diagonalization Property (ED) if and only if it satisfies the following weak Hasse principle: every totally indefinite central simple algebra with involution of the first kind over the given field is weakly isotropic. This generalizes a known result from quadratic form theory.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Real fields, central simple algebras, involutions, weak Hasse principles, hermitian squares
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Quadratic Forms and Related Topics, 26. März 2001 - 30. März 2001, Baton Rouge, Louisiana, USA
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undefined / . - undefined, undefined
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LEWIS, David W., Claus SCHEIDERER, Thomas UNGER, 2001. A Weak Hasse Principle for Central Simple Algebras with an Involution. Quadratic Forms and Related Topics. Baton Rouge, Louisiana, USA, 26. März 2001 - 30. März 2001. In: HOFFMAN, J. William, ed. and others. Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001. Bielefeld, 2001, pp. 241-251. Documenta mathematica. 2001,1BibTex
@inproceedings{Lewis2001Hasse-23583, year={2001}, title={A Weak Hasse Principle for Central Simple Algebras with an Involution}, number={2001,1}, address={Bielefeld}, series={Documenta mathematica}, booktitle={Proceedings of the Conference on Quadratic Forms and Related Topics : Baton Rouge, Louisiana, USA ; March 26 - 30, 2001}, pages={241--251}, editor={Hoffman, J. William}, author={Lewis, David W. and Scheiderer, Claus and Unger, Thomas} }
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