On endomorphism algebras of separable monoidal functors

Brian Day; Craig Antonio Pastro

On endomorphism algebras of separable monoidal functors

Brian Day, Craig Antonio Pastro

Division for Theoretical Natural Science

Research output: Contribution to journal › Article › peer-review

Abstract

We show that the (co)endomorphism algebra of a sufficiently separable "fibre" functor into Vect_κ, for κ a field of characteristic 0, has the structure of what we call a "unital" von Neumann core in Vect_κ. For Vect_κ, 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 language	English
Pages (from-to)	77-96
Number of pages	20
Journal	Theory and Applications of Categories
Volume	22
Publication status	Published - Jan 28 2009

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

Cite this

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On endomorphism algebras of separable monoidal functors

Abstract

All Science Journal Classification (ASJC) codes

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