Flexible idempotents in nonassociative algebras
Rings and Algebras
2021-06-17 v4
Abstract
``Fusion rules'' are laws of multiplication among eigenspaces of an idempotent. We establish fusion rules for flexible power-associative algebras, following Albert. We define the notion of an axis in the noncommutative setting (compare with [HRS]) and accumulate information about pairs of axes. We also describe a class of noncommutative examples of flexible power-associative algebras.
Cite
@article{arxiv.2011.11702,
title = {Flexible idempotents in nonassociative algebras},
author = {Louis Rowen and Yoav Segev},
journal= {arXiv preprint arXiv:2011.11702},
year = {2021}
}
Comments
17 pages. Axes, and algebras generated by two axes are described in detail