On endomorphism algebras of separable monoidal functors
Category Theory
2010-03-03 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.0712.1864,
title = {On endomorphism algebras of separable monoidal functors},
author = {Brian Day and Craig Pastro},
journal= {arXiv preprint arXiv:0712.1864},
year = {2010}
}
Comments
17 pages