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*-Autonomous categories in quantum theory

Category Theory 2011-11-29 v2 Quantum Algebra

Abstract

*-Autonomous categories were initially defined by M. Barr to describe a type of duality carried by many monoidal closed categories. Later they were generalised by the current author to include *-autonomous promonoidal categories. Together, these structures under "convolution" product give a clear indication of the usefulness of *-autonomy in quantum mathematics and related areas.

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Cite

@article{arxiv.math/0605037,
  title  = {*-Autonomous categories in quantum theory},
  author = {Brian Day},
  journal= {arXiv preprint arXiv:math/0605037},
  year   = {2011}
}

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6 pages