On endomorphism algebras of separable monoidal functors

Brian Day, Craig Antonio Pastro

Research output: Contribution to journalArticlepeer-review


We show that the (co)endomorphism algebra of a sufficiently separable "fibre" functor into Vectκ, for κ a field of characteristic 0, has the structure of what we call a "unital" von Neumann core in Vectκ. For Vectκ, 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.

Original languageEnglish
Pages (from-to)77-96
Number of pages20
JournalTheory and Applications of Categories
Publication statusPublished - Jan 28 2009

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)


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