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math.RA2025
Makar-Limanov's problem on values of polynomials on matrices
Louis H. Rowen, Uzi Vishne
Suppose is an infinite field and let be a noncommutative polynomial. Partially answering a query of Makar-Limanov, we show that there are numbers $d…
math.RA2025
Frobenius forms on weakly primitive axial algebras of Jordan type
Louis Rowen, Yoav Segev
In a previous paper we studied ``weakly primitive axial algebras'' with respect to more general fusion rules, for which at least one axis satisfies the fusion rules. In this contin…
math.RA2025
Axial identities
Louis Halle Rowen
Axial algebras are algebras generated by semisimple idempotents whose eigenspace decompositions satisfy prescribed fusion rules, such as Jordan fusion rules, which hold in Jordan a…