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Displaying similar documents to “Representations, duals and quantum doubles of monoidal categories”

Squared Hopf algebras and reconstruction theorems

Volodymyr Lyubashenko (1997)

Banach Center Publications

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Given an abelian 𝑉-linear rigid monoidal category 𝑉, where 𝑉 is a perfect field, we define squared coalgebras as objects of cocompleted 𝑉 ⨂ 𝑉 (Deligne's tensor product of categories) equipped with the appropriate notion of comultiplication. Based on this, (squared) bialgebras and Hopf algebras are defined without use of braiding. If 𝑉 is the category of 𝑉-vector spaces, squared (co)algebras coincide with conventional ones. If 𝑉 is braided, a braided Hopf algebra can be obtained...

Balanced coalgebroids.

Mccrudden, Paddy (2000)

Theory and Applications of Categories [electronic only]

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Opmonoidal monads.

McCrudden, Paddy (2002)

Theory and Applications of Categories [electronic only]

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