Geodesic
Differential calculi on standard quantizations of simple algebraic groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 549-577

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In the present paper differential calculi on quantum groups are studied, following S. L. Woronowisz. A non-existence of bicovariant differential calculi on the standard quantizations of simple algebraic groups is proved, ground field is taken to be $\mathcal K=k(q)$. Left-covariant differential calculus on $SL_q(2)$ is constructed and homology of algebra $U_q(sl(2))$ with coefficients in finite-dimensional modules is computed. 
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     author = {M. F. Sadykov},
     title = {Differential calculi on standard quantizations of simple algebraic groups},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {549--577},
     publisher = {mathdoc},
     volume = {3},
     number = {2},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a11/}
}
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M. F. Sadykov. Differential calculi on standard quantizations of simple algebraic groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 3 (1997) no. 2, pp. 549-577. http://geodesic.mathdoc.fr/item/FPM_1997_3_2_a11/