Title：Noetherian pointed Hopf algebras are affine

Speaaker：huan jia, suqian university

Date：10:00-11:00 2026-1-16 (Friday)

Venue：Room 617,Building 56, Shouxihu Campus

Abstract：Let k be a field. In 2003 Q.-S. Wu and J. J. Zhang proposed the classical affineness question for Noetherian Hopf algebras: Is every Noetherian Hopf algebra over k an affine k-algebra？We introduce the notions of reduction order and reduction-factorization on words, and use them to show that any right or left Noetherian pointed Hopf algebra over k is affine. For a pointed Hopf algebra H over k, we construct a well-ordered set X such that: (1) H is generated, as an algebra, by the subset X_I of irreducible letters (with respect to the reduction order); and (2) X_I is finite whenever H is right Noetherian. This is a joint work with Prof. Yinhuo Zhang.

Organizer：School of Mathematics

Inviter: Libin Li and Hua Sun

Students and teachers are welcome.