N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS
| Authors | |
|---|---|
| Year of publication | 2013 |
| Type | Article in Periodical |
| Magazine / Source | Theory and Applications of Categories |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.tac.mta.ca/tac/ |
| Field | General mathematics |
| Keywords | n-tuple groupoids; factorization; |
| Description | In this paper, we prove that the category of vacant n tuple groupoids is equivalent to the category of factorizations of groupoids by n factors that satisfy some Yang-Baxter type equation. Moreover we extend this equivalence to the category of maximally exclusive n-tuple groupoids, which we define, by dropping one assumption. The paper concludes by a note on how these results could tell us more about some Lie groups of interest. |
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