2019 Thematic Program (I)

On free associative algebras


March 05, 2019  16:00-17:00

W303  School of Mathematics, Sichuan University

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Olivier Mathieu (University of Lyon I, France)


In this work, we define some abstract algebraic object. Conjecturally, we expect these object to describe free alternative and free Jordan algebras. The conjecture has been checked in some cases. For one generator free Jordan and alternative algebras, the conjecture holds: this approach provides a complex proof of the quite trivial fact that the free Jordan/alternative algebra in one variable is the one variable polynomial algebra. Also for free algebras with more than one generators, some numerical consequences has been checked by computer. For example, the conjecture is compatible with the existence Glennie identities (some degree 8 Jordan polynomial in three variables) and with the fact that tetrads are not Jordan polynomials.


An-Min Li (Chair) (Sichuan University)

Bohui Chen (Sichuan University)

Xiaojun Chen (Sichuan University)

Farkhod Eshmatov (Sichuan University)

Wenchuan Hu (Sichuan University)

Raphael Ponge (Sichuan University)


Natural Science Foundation of China

School of Mathematics, Sichuan University

Tianyuan Mathematical Center in Southwest China


  • On free associative algebras
  • 16:00 - 17:00, 2019-03-05 at W303 School of Mathematics
  • Olivier Mathieu (University of Lyon I, France)