Flexible idempotents in nonassociative algebras

Louis Rowen, Yoav Segev

Research output: Working paper/PreprintPreprint

Abstract

"Fusion rules'' are laws of multiplication among eigenspaces of anidempotent. 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 alsodescribe a class of noncommutative examples of flexible power-associativealgebras.Comment: 19 pages. Algebras generated by two axes are described in detai
Original languageEnglish GB
PublisherarXiv:2011.11702
StatePublished - 30 Dec 2020

Keywords

  • Mathematics - Rings and Algebras
  • Primary: 17A05, 17A15, 17A20, Secondary: 17A36, 17C27

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