English

On the Free Jordan Algebras

Representation Theory 2019-10-16 v1 Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1910.06841,
  title  = {On the Free Jordan Algebras},
  author = {Iryna Kashuba and Olivier Mathieu},
  journal= {arXiv preprint arXiv:1910.06841},
  year   = {2019}
}

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37 pages