代数与表示论系列报告——On a class of noetherian prime Hopf algebra

Speaker: Dr.zahra nazemian (University of Graz, Austria)

Time: 4:10-5:10pm, Oct. 21 (Monday), 2024

Place: 浙江大学紫金港校区海纳苑二号楼101

Abstract: 

  Brown and Goodearl proposed a conjecture stating that every prime noetherian Hopf algebra is Auslander Gorenstein (AG). We prove that if a prime noetherian Hopf $k$-algebra is AG, or more generally, if it possesses an Auslander dualizing complex, then it exhibits the bounded factorization property.

  We also introduce a non-commutative Poisson Hopf algebra as an ongoing joint work with Ken Brown and James Zhang. Using flat deformation, we provide a recipe that gives us a source of examples.