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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 ...