# IMath Webinar Series: Dr. Rafael Reno Cantuba

You’re all invited to attend the 5th seminar of our webinar series on **Monday, May 22, 2023 at 2:00 PM**. Our speaker is Dr. Rafael Reno Cantuba (from De La Salle University Manila, hosted by the Groups, Geometry, and Representations Research Group).

** Dr. Rafael Reno Cantuba** (De La Salle University Manila, hosted by the Groups, Geometry, and Representations Group)

**Lie Polynomial Characterization in Associative Algebras**

*Title:***Important classes of associative algebras that have been studied in algebraic combinatorics and mathematical physics are generated by elements that obey commutation relations that contain expressions that bear similarity with the commutator operation in an associative algebra, which gives the associative algebra a Lie algebra structure. If these commutation relations cannot be expressed in terms of only Lie algebra operations on the generators, then the Lie polynomial characterization problem in the associative algebra is nontrivial. Methods that resulted to full and partial solutions to nontrivial Lie polynomial characterization problems shall be presented.**

*Abstract:*