Geodesic
On endomorphism algebras of separable monoidal functors
Theory and applications of categories, Tome 22 (2009), pp. 77-96.

Voir la notice de l'article provenant de la source Theory and Applications of Categories website

We show that the (co)endomorphism algebra of a sufficiently separable ``fibre'' functor into $Vect_k$, for $k$ a field of characteristic 0, has the structure of what we call a ``unital'' von Neumann core in $Vect_k$. For $Vect_k$, this particular notion of algebra is weaker than that of a Hopf algebra, although the corresponding concept in $Set$ is again that of a group.
Classification : 18D99, 16B50
Keywords: separable fibre functor, Tannaka reconstruction, bialgebra, von Neumann core 
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     author = {Brian Day and Craig Pastro},
     title = {On endomorphism algebras of separable monoidal functors},
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     volume = {22},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2009_22_a3/}
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Brian Day; Craig Pastro. On endomorphism algebras of separable monoidal functors. Theory and applications of categories, Tome 22 (2009), pp. 77-96. http://geodesic.mathdoc.fr/item/TAC_2009_22_a3/