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1. • CommentRowNumber1.
   • CommentAuthorMike Shulman
   • CommentTimeJun 14th 2011
   • PermaLink
   Author: Mike Shulman
   Format: MarkdownItexNew page [[Hopf adjunction]]. Bruguièresa, Lack, and Vireliziera use this to refer to a comonoidal adjunction satisfying the non-cartesian version of the "Frobenius" property. Given the confusion around "Frobenius", I like this terminology, since it is naturally connected to (one notion of) Hopf monads and thereby to Hopf algebras. What do people think?

   New page Hopf adjunction. Bruguièresa, Lack, and Vireliziera use this to refer to a comonoidal adjunction satisfying the non-cartesian version of the “Frobenius” property. Given the confusion around “Frobenius”, I like this terminology, since it is naturally connected to (one notion of) Hopf monads and thereby to Hopf algebras. What do people think?

2. • CommentRowNumber2.
   • CommentAuthorzskoda
   • CommentTimeJun 14th 2011
   • PermaLink
   Author: zskoda
   Format: MarkdownItexAlain Bruguières and Alexis Virelizier not Bruguièresa and Vireliziera :)

   Alain Bruguières and Alexis Virelizier not Bruguièresa and Vireliziera :)

3. • CommentRowNumber3.
   • CommentAuthorUrs
   • CommentTimeApr 24th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexadded more hyperlinks to references, here and at *[[Hopf monad]]* <a href="https://ncatlab.org/nlab/revision/diff/Hopf+adjunction/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hopf+adjunction/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Hopf+adjunction">current</a>

   added more hyperlinks to references, here and at Hopf monad

   diff, v6, current

4. • CommentRowNumber4.
   • CommentAuthorUrs
   • CommentTimeApr 24th 2023
   • PermaLink
   Author: Urs
   Format: MarkdownItexIn fact, the arXiv link that was given in the entry for * [[Alain Bruguières]], [[Steve Lack]], [[Alexis Virelizier]], *Hopf monads on monoidal categories*, Adv. Math. __227__ 2 (2011) 745-800 &lbrack;[arXiv:1003.1920](https://arxiv.org/abs/1003.1920), [doi:10.1016/j.aim.2011.02.008](https://doi.org/10.1016/j.aim.2011.02.008)&rbrack; had been wrong all along, pointing instead to * Alain Bruguières, Alexis Virelizier, *The double of a Hopf monad* &lbrack;[arXiv:0812.2443](https://arxiv.org/abs/0812.2443)&rbrack; am fixing it now... <a href="https://ncatlab.org/nlab/revision/diff/Hopf+adjunction/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hopf+adjunction/6">v6</a>, <a href="https://ncatlab.org/nlab/show/Hopf+adjunction">current</a>

   In fact, the arXiv link that was given in the entry for

   • Alain Bruguières, Steve Lack, Alexis Virelizier, Hopf monads on monoidal categories, Adv. Math. 227 2 (2011) 745-800 [arXiv:1003.1920, doi:10.1016/j.aim.2011.02.008]

   had been wrong all along, pointing instead to

   • Alain Bruguières, Alexis Virelizier, The double of a Hopf monad [arXiv:0812.2443]

   am fixing it now…

   diff, v6, current

5. • CommentRowNumber5.
   • CommentAuthorzskoda
   • CommentTimeApr 26th 2023
   • (edited Apr 26th 2023)
   • PermaLink
   Author: zskoda
   Format: MarkdownItexHarshit Yadav, _Frobenius monoidal functors from (co)Hopf adjunctions_, [arXiv:2209.15606](https://arxiv.org/abs/2209.15606) <a href="https://ncatlab.org/nlab/revision/diff/Hopf+adjunction/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/Hopf+adjunction/7">v7</a>, <a href="https://ncatlab.org/nlab/show/Hopf+adjunction">current</a>

   Harshit Yadav, Frobenius monoidal functors from (co)Hopf adjunctions, arXiv:2209.15606

   diff, v7, current