English

Trace Forms of Symbol Algebras

Rings and Algebras 2008-12-01 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0811.4572,
  title  = {Trace Forms of Symbol Algebras},
  author = {Ronan Flatley},
  journal= {arXiv preprint arXiv:0811.4572},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-06-21T11:46:03.128Z