Properly twisted groups and their algebras
Rings and Algebras
2011-07-08 v1
Abstract
A twist property is developed which imparts certain properties on the twisted group algebra. These include an involution * satisfying (xy)*=y*x* and an inner product satisfying <xy,z> = <x,zy*> and <xy,z>=<y,x*z>. Examples of twisted group algebras having this property are the Cayley-Dickson algebras and Clifford algebras.
Cite
@article{arxiv.1107.1297,
title = {Properly twisted groups and their algebras},
author = {John W. Bales},
journal= {arXiv preprint arXiv:1107.1297},
year = {2011}
}