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math.KT2026
Monoidal invariance of the cohomological dimension of Hopf algebras: the finite case
Julien Bichon
A consequence of the recent work of Ren and Zhu on Gorenstein projective dimensions of modules over Hopf algebras is that if and are Hopf algebras with bijective antipodes…
math.KT2024
Cohomological dimension of braided Hopf algebras
Julien Bichon, Thi Hoa Emilie Nguyen
We show that for a braided Hopf algebra in the category of comodules over a cosemisimple coquasitriangular Hopf algebra, the Hochschild cohomological dimension, the left and right…