Geodesic
Yang--Baxter operators and noncommutative de~Rham complexes
Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 315-338

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Axiomatic approaches to the construction of differential calculi on quantum objects are studied in this paper. The connection between universal coacting semigroups and $R$-matrix quantum semigroups is investigated. Covariant quantum (noncommutative) de Rham complexes on quantum spaces, strong $R$-matrix quantum semigroups, and the quantum group $SL_q(2)$ are described. 
@article{IM2_1995_44_2_a5,
     author = {E. E. Mukhin},
     title = {Yang--Baxter operators and noncommutative {de~Rham} complexes},
     journal = {Izvestiya. Mathematics },
     pages = {315--338},
     publisher = {mathdoc},
     volume = {44},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1995_44_2_a5/}
}
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E. E. Mukhin. Yang--Baxter operators and noncommutative de~Rham complexes. Izvestiya. Mathematics , Tome 44 (1995) no. 2, pp. 315-338. http://geodesic.mathdoc.fr/item/IM2_1995_44_2_a5/