On endomorphism algebras of separable monoidal functors

Details On endomorphism algebras of separable monoidal functors On endomorphism algebras of separable monoidal functors

2007-12-12

arxiv.org/abs/0712.1864v1

Theory and Applications of Categories 22 (2009) 77-96

Mathematics

Category Theory

17 pages

Scientific paper

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.

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