Geodesic
Quantization of the external algebra on a~Poisson--Lie group
Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 84-100

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The external algebra $\mathcal M$ on $GL(N)$ is show to be equipped with graded Poisson brackets compatible with the group action. The corresponding Poisson–Hopf superalgebra structures on $\mathcal M$ are classified. They form two families, each of them is parametrized by two continuous parameters $(\alpha,\beta)$. It is shown that the structures from the first family with $\alpha=0=\beta$ appear as the semiclassical limit of the bicovariant differential calculi on the quantum linear group $GL_q(N)$. 
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     author = {G. E. Arutyunov and P. B. Medvedev},
     title = {Quantization of the external algebra on {a~Poisson--Lie} group},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {84--100},
     publisher = {mathdoc},
     volume = {108},
     number = {1},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a6/}
}
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G. E. Arutyunov; P. B. Medvedev. Quantization of the external algebra on a~Poisson--Lie group. Teoretičeskaâ i matematičeskaâ fizika, Tome 108 (1996) no. 1, pp. 84-100. http://geodesic.mathdoc.fr/item/TMF_1996_108_1_a6/