## A note on the computation of symmetric powers of hyperbolic forms and of trace froms on symbol algebras

#### Citation

Flatley, R. (2014) 'A note on the computation of symmetric powers of hyperbolic forms and of trace froms on symbol algebras.' Journal of Algebra, Number Theory: Advances and Applications 12(2), pp. 91-110. ISSN: 0975 - 1548.

##### View/Open

##### Date

2014##### Author

Flatley, Ronan

##### Peer Reviewed

Yes##### Metadata

Show full item record*Flatley, R. (2014) 'A note on the computation of symmetric powers of hyperbolic forms and of trace froms on symbol algebras.' Journal of Algebra, Number Theory: Advances and Applications 12(2), pp. 91-110. ISSN: 0975 - 1548.*

##### 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 generalized form of the Vandermonde convolution in the course of the computations.

##### Keywords

NoteComputation

Hyperbolic forms

Symmetric powers

Trace forms

Symbol algebras