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@article{1111232, author = {Majard, Dany}, article_number = {12}, keywords = {n-tuple groupoids; factorization;}, language = {eng}, issn = {1201-561X}, journal = {Theory and Applications of Categories}, title = {N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS}, url = {http://www.tac.mta.ca/tac/}, volume = {28}, year = {2013} }
TY - JOUR ID - 1111232 AU - Majard, Dany PY - 2013 TI - N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS JF - Theory and Applications of Categories VL - 28 IS - 12 SP - 304-331 EP - 304-331 SN - 1201561X KW - n-tuple groupoids KW - factorization; UR - http://www.tac.mta.ca/tac/ L2 - http://www.tac.mta.ca/tac/ N2 - 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. ER -
MAJARD, Dany. N-TUPLE GROUPOIDS AND OPTIMALLY COUPLED FACTORIZATIONS. \textit{Theory and Applications of Categories}. 2013, roč.~28, č.~12, s.~304-331. ISSN~1201-561X.
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