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Trace forms of symbol algebras (Pre-published version)
(World Scientific Publishing Complany, 2012)
Let S be a symbol algebra. The trace form of S is computed and it is
shown how this form can be used to determine whether S is a division algebra or not.
In addition, the exterior powers of the trace form of S are computed.
A note on the computation of symmetric powers of hyperbolic forms and of trace froms on symbol algebras
(Scientific Advances Publishers, 2014)
Let K be a field with characteristic different from 2 and let S be a symbol algebra over K. We compute the symmetric powers of hyperbolic quadratic forms over K. Also, we compute the symmetric powers of the quadratic trace ...
Symmetric powers of trace forms on symbol algebras
(Université D'Artois, 2013)