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arXiv · 2011.11702

Flexible idempotents in nonassociative algebras

Louis Rowen·Yoav Segev
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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.

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Louis Rowen, Yoav Segev. 2020-11-23. Flexible idempotents in nonassociative algebras. https://arxiv.org/abs/2011.11702

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