On the Free Jordan Algebras

2019/10/15 by Kashuba, Iryna, Mathieu, Olivier
#17A50 #17B56 #17C50 #18D50 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1910.06841

Abstract

A conjecture for the dimension and the character of the homogenous components of the free Jordan algebras is proposed. As a support of the conjecture, some numerical evidences are generated by a computer and some new theoretical results are proved. One of them is the cyclicity of the Jordan operad.

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