Geodesic
Notes on the differential calculi on quantum linear groups
Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 1, pp. 148-152

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This talk is devoted to the problem of construction of the differential calculi on quantum linear groups. Basing on the natural algebraic postulates we examine the possible commutation relations for the $GL_q(N)$- and $SL_q(N)$-invariant differential forms and vector fields. It turns out that there exist several families of the admissible commutation rules for $GL_q(N)$, but, in contrast, the commutation prescription for $SL_q(N)$ is unique. 
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     author = {P. N. Pyatov and P. A. Saponov},
     title = {Notes on the differential calculi on quantum linear groups},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     number = {1},
     year = {1994},
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     url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_1_a13/}
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P. N. Pyatov; P. A. Saponov. Notes on the differential calculi on quantum linear groups. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 1, pp. 148-152. http://geodesic.mathdoc.fr/item/TMF_1994_100_1_a13/