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~ The important use of Frobenius–Schur indicators and Frobenius-Schur exponents ~

I had asked a question on the uses of conjugacy class and centralizer. I had receive various helpful feedback. I appreciate them. Here I like to get some feedback on the Frobenius–Schur indicator. ...
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Monoidal Structures on the Category of Module-Comodules of a Hopf Algebra

Let $H$ be a Hopf algebra, and let ${\cal M}^H_H$ the category of right $H$-module-comodules, that is, the objects of ${\cal M}^H_H$ are right $H$-modules, and right $H$-comodules, such that, for $V$ ...