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arXiv · 1307.7891

Symmetric Powers of Hyperbolic Forms and of Trace Forms on Symbol Algebras

Ronan Flatley
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Abstract

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 form of $S$. In both cases we apply a generalised form of the Vandermonde convolution in the course of the computations.

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Ronan Flatley. 2013-07-30. Symmetric Powers of Hyperbolic Forms and of Trace Forms on Symbol Algebras. https://arxiv.org/abs/1307.7891

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