On endomorphism algebras of separable monoidal functors

Brian Day, Craig Antonio Pastro

Research output: Contribution to journalArticle

Abstract

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
Volume22
Publication statusPublished - Jan 28 2009

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Endomorphism
Functor
Algebra
Unital
Hopf Algebra
Fiber
Concepts

All Science Journal Classification (ASJC) codes

  • Mathematics (miscellaneous)

Cite this

On endomorphism algebras of separable monoidal functors. / Day, Brian; Pastro, Craig Antonio.

In: Theory and Applications of Categories, Vol. 22, 28.01.2009, p. 77-96.

Research output: Contribution to journalArticle

Day, Brian ; Pastro, Craig Antonio. / On endomorphism algebras of separable monoidal functors. In: Theory and Applications of Categories. 2009 ; Vol. 22. pp. 77-96.
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