On properties of Viro--Turaev representations of a mapping class group of a~torus
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 220-240

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Matrix realizations for the Viro–Turaev representations of the mapping class group of a torus are constructed. Each of the representations is generated by three involutive matrices. For the levels $r=3,4,5,6$, the finiteness of the representations is proved.
@article{ZNSL_2000_267_a15,
     author = {M. A. Ovchinnikov},
     title = {On properties of {Viro--Turaev} representations of a mapping class group of a~torus},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {220--240},
     publisher = {mathdoc},
     volume = {267},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a15/}
}
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M. A. Ovchinnikov. On properties of Viro--Turaev representations of a mapping class group of a~torus. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 5, Tome 267 (2000), pp. 220-240. http://geodesic.mathdoc.fr/item/ZNSL_2000_267_a15/