Quantum modules

Mathematics – Category Theory

Scientific paper

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23 pages

Scientific paper

There are various generalizations of bialgebras to their ''many object''
versions, such as quantum categories, bialgebroids and weak bialgebras. These
can also be thought of as quantum analogues of small categories. In this paper
we study modules over these structures, which are quantum analogues of
profunctors (also called distributors) between small categories.

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