A diagrammatic approach to Hopf monads Export

@misc{citeulike:2973366, abstract = {Given a Hopf algebra in a symmetric monoidal category with duals, the category of modules inherits the structure of a monoidal category with duals. If the notion of algebra is replaced with that of monad on a monoidal category with duals then Bruguieres and Virelizier showed when the category of modules inherits this structure of being monoidal with duals, and this gave rise to what they called a Hopf monad. In this paper it is shown that there are good diagrammatic descriptions of dinatural transformations which allows the three-dimensional, object-free nature of their constructions to become apparent.}, archivePrefix = {arXiv}, author = {Willerton, Simon}, citeulike-article-id = {2973366}, citeulike-linkout-0 = {http://arxiv.org/abs/0807.0658}, citeulike-linkout-1 = {http://arxiv.org/pdf/0807.0658}, day = {3}, eprint = {0807.0658}, keywords = {hopf\_mondas, monoidal\_categories}, month = {Jul}, posted-at = {2009-06-18 11:42:38}, priority = {2}, title = {A diagrammatic approach to Hopf monads}, url = {http://arxiv.org/abs/0807.0658}, year = {2008} }

TY - ELEC ID - citeulike:2973366 L3 - citeulike-article-id:2973366 N2 - Given a Hopf algebra in a symmetric monoidal category with duals, the category of modules inherits the structure of a monoidal category with duals. If the notion of algebra is replaced with that of monad on a monoidal category with duals then Bruguieres and Virelizier showed when the category of modules inherits this structure of being monoidal with duals, and this gave rise to what they called a Hopf monad. In this paper it is shown that there are good diagrammatic descriptions of dinatural transformations which allows the three-dimensional, object-free nature of their constructions to become apparent. TI - A diagrammatic approach to Hopf monads KW - hopf_mondas KW - monoidal_categories AU - Willerton, Simon PY - 2008/Jul/03/ UR - http://arxiv.org/abs/0807.0658 ER -