Graded sets, graded groups, and Clifford algebras
Category Theory
2021-09-03 v1 Group Theory
Abstract
We define a general notion of centrally -graded sets and groups and of their graded products, and prove some basic results about the corresponding categories: most importantly, they form braided monoidal categories. Here, is an arbitrary (generalized) ring. The case = Z/2Z is studied in detail: it is related to Clifford algebras and their discrete Clifford groups (also called Salingaros Vee groups).
Cite
@article{arxiv.2109.00878,
title = {Graded sets, graded groups, and Clifford algebras},
author = {Wolfgang Bertram},
journal= {arXiv preprint arXiv:2109.00878},
year = {2021}
}