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Cohomological invariants for orthogonal involutions on degree 8 algebras
Published online by Cambridge University Press: 05 July 2011
Abstract
Using triality, we define a relative Arason invariant for orthogonal involutions on a -possibly division- central simple algebra of degree 8. This invariant detects hyperbolicity, but it does not detect isomorphism. We produce explicit examples, in index 4 and 8, of non isomorphic involutions with trivial relative Arason invariant.
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- Copyright © ISOPP 2011
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