Geodesic
Structure of some compact quantum semigroups
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 2, pp. 18-26

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We show that the main results of multuplicative unitary theory do not hold for compact quantum semigroups and give examples. We suggest a new method to provide compact quantum semigroup structure by the use of pentagon equation, which gives a generalization of multiplicative unitary theory. 
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     author = {M. A. Aukhadiev},
     title = {Structure of some compact quantum semigroups},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {18--26},
     publisher = {mathdoc},
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     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_2_a2/}
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M. A. Aukhadiev. Structure of some compact quantum semigroups. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 2, pp. 18-26. http://geodesic.mathdoc.fr/item/VMJ_2013_15_2_a2/