A Hopf module is a structure that combines the properties of a module over a ring and the action of a Hopf algebra. In this setting, the module not only has an action from the algebra but also respects the algebra's comultiplication and counit, creating a rich interplay between algebraic structures. This allows for the exploration of how representations of Hopf algebras can be understood through modules, providing insight into both the algebra and geometry involved.
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