3 papers
math.RA2026
Coactions of cocommutative Hopf algebras on skew polynomial rings
Lucas Buzaglo, Daniel Rogalski
We classify the cocommutative Hopf algebras which coact inner-faithfully on (one-parameter) skew polynomial rings $A_q(n) = \Bbbk \langle x_1,\dots,x_n \rangle/(x_j x_i - q x_i x_j…
math.QA2025
Homological Integrals for Weak Hopf Algebras
Daniel Rogalski, Robert Won, James J. Zhang
We introduce the notion of a homological integral for an infinite-dimensional weak Hopf algebra and use the homological integral to prove several structure theorems. For example, w…
math.RA2024
Closed subcategories of quotient categories
Daniel Rogalski
We study the spectrum of closed subcategories in a quasi-scheme, i.e. a Grothendieck category . The closed subcategories are the direct analogs of closed subschemes in the commu…