Ronan Flatley: Trace Forms of Symbol Algebras

Submission: 2008, Nov 27

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.

2000 Mathematics Subject Classification: Primary: 11E81; Secondary: 16K20

Keywords and Phrases: symbol algebra, trace form, exterior power

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