bob电子竞技:代数与表示论系列报告——On a class of noetherian prime Hopf algebra
来源：bob电子竞技
发布时间：2024-10-18
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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.