Matched pairs, post-Hopf algebras and the quantum Yang-Baxter equation
22.11.2024, 11:00
– Campus Golm, Building 9, Room 2.22 and via Zoom
Arbeitsgruppenseminar Analysis
Yunan Li (Guangzhong, China) (online)
Recently, Ferri and Sciandra introduced two equivalent notions, matched pair of actions on a Hopf algebra and Yetter-Drinfeld brace. Any of these objects actually provides a solution of the quantum Yang-Baxter equation, generalizing the construction of Yang-Baxter operators by Lu, Yan and Zhu from braiding operator on a group, and also by Angiono, Galindo and Vendramin from a cocommutative Hopf brace.
Later, Sciandra ingeniously proposed one more equivalent notion, namely Yetter-Drinfeld post-Hopf algebra, as a non-cocommutative generalization of post-Hopf algebra formerly introduced by Sheng, Tang and me, and most remarkably it provides a sub-adjacent structure as cocommutative post-Hopf algebra does.
In this talk, I intend to review these works first, and then discuss some related problems.
Wenn Sie digital an den Vorträgen teilnehmen möchten, wenden Sie sich bitte an Christian Molle molle @ uni-potsdam.de, um die Zugangsdaten zu erhalten.