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math.RA2025
Log-ozone groups and centers of polynomial Poisson algebras
Kenneth Chan, Jason Gaddis, Robert Won +1
In previous work, the authors introduced the ozone group of an associative algebra as the subgroup of automorphisms which fix the center pointwise. The authors studied PI skew poly…
math.RA2025
Higher rank Bell--Rogalski algebras
Jason Gaddis, Daniele Rosso, Robert Won
We generalize a construction of Bell and Rogalski to realize new examples of -graded simple rings. This construction also generalizes TGWAs of type . In addi…
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…