Flexible idempotents in nonassociative algebras
``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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Rings and Algebras
Primary: 17A05, 17A15, 17A20, Secondary: 17A36, 17C27