Stability index of algebras with involution. (English) Zbl 1386.16009
Broglia, Fabrizio (ed.) et al., Ordered algebraic structures and related topics. International conference at CIRM, Luminy, France, October 12–16, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2966-9/pbk; 978-1-4704-4222-4/ebook). Contemporary Mathematics 697, 41-50 (2017).
Summary: In this note we give a self-contained presentation of signatures of hermitian forms over simple algebras with involution with respect to orderings on the base field of the algebra. We then introduce and study the stability group, stability index and reduced Witt group of simple algebras with involution and show in particular that they exhibit properties that are similar to those of the equivalent concepts in the field case.
For the entire collection see [Zbl 1375.00094].
For the entire collection see [Zbl 1375.00094].
Biographic References:
Marshal, MurrayReferences:
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