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On Examples and Classification of Frobenius Objects in Rel
by
Contreras, Ivan
, Long, Adele
, Rajan Amit Mehta
, Marx, Sophia
in
Partitions (mathematics)
2022
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On Examples and Classification of Frobenius Objects in Rel
by
Contreras, Ivan
, Long, Adele
, Rajan Amit Mehta
, Marx, Sophia
in
Partitions (mathematics)
2022
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On Examples and Classification of Frobenius Objects in Rel
Paper
On Examples and Classification of Frobenius Objects in Rel
2022
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Overview
We give some new examples of Frobenius objects in the category of sets and relations \\(\\textbf{Rel}\\). One example is a groupoid with a twisted counit. Another example is the set of conjugacy classes of a group. We also classify Frobenius objects in \\(\\textbf{Rel}\\) with two or three elements, and we compute the associated surface invariants using the partition functions of the corresponding TQFTs.
Publisher
Cornell University Library, arXiv.org
Subject
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