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Aug 1, 2023 at 15:19 comment added Pablo S. Ocal The category of $D(H)$-modules is equivalent to $\mathcal{Z}(H\mathrm{-mod})$ the (Drinfeld) center of the category of $H$-modules. Roughly speaking, the category $\mathcal{Z}(\mathcal{C})$ is the universal object through which strict braided functors to $\mathcal{C}$ factor (see Kassel Proposition XIII.4.3. for details).
Feb 17, 2020 at 17:26 vote accept Mike Pierce
Feb 3, 2019 at 15:38 answer added Christoph Mark timeline score: 3
Feb 3, 2018 at 6:06 comment added Mathematician 42 As for the last question: The category of Yetter-Drinfeld modules of $H$ is equivalent to the category of modules over the Drinfeld double $D(H)$. But I guess this merely shifts your question to why the Drinfeld double is defined the way it is.
Jan 29, 2018 at 17:36 history edited Mike Pierce CC BY-SA 3.0
Removed the linked questions because those aren't as relevant on MO, and regrammared
Jan 29, 2018 at 17:16 history migrated from math.stackexchange.com (revisions)
S Jan 23, 2018 at 16:14 answer added Mike Pierce timeline score: 5
S Jan 23, 2018 at 16:14 history asked Mike Pierce CC BY-SA 3.0