### 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 |
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Pages (from-to) | 77-96 |

Number of pages | 20 |

Journal | Theory and Applications of Categories |

Volume | 22 |

Publication status | Published - Jan 28 2009 |

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### All Science Journal Classification (ASJC) codes

- Mathematics (miscellaneous)

### Cite this

*Theory and Applications of Categories*,

*22*, 77-96.

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

Research output: Contribution to journal › Article

*Theory and Applications of Categories*, vol. 22, pp. 77-96.

}

TY - JOUR

T1 - On endomorphism algebras of separable monoidal functors

AU - Day, Brian

AU - Pastro, Craig Antonio

PY - 2009/1/28

Y1 - 2009/1/28

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=65749119471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65749119471&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:65749119471

VL - 22

SP - 77

EP - 96

JO - Theory and Applications of Categories

JF - Theory and Applications of Categories

SN - 1201-561X

ER -