Albert's twisted field construction using division algebras with a multiplicative norm
Rings and Algebras
2022-09-15 v2
Abstract
We generalize Albert's twisted field construction, applying it to unital division algebras with a multiplicative norm. We give conditions for the resulting algebras to be division algebras.Four- and eight-dimensional real unital and non-unital division algebras with large derivation algebras are constructed out of Hamilton's quaternion and Cayley's octonion algebra.
Cite
@article{arxiv.1504.00188,
title = {Albert's twisted field construction using division algebras with a multiplicative norm},
author = {Susanne Pumpluen},
journal= {arXiv preprint arXiv:1504.00188},
year = {2022}
}
Comments
Cleaned up and improved version