Geodesic
Gauss decomposition for quantum groups and supergroups
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 155-177

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The Gauss decompositions of quantum groups related to classical Lie groups and supergroups are considered by the elementary algebraic and $R$-matrix methods. The commutation relations between the generators of the new basis introduced by the decomposition are described in detail. It is shown that it is possible to reduce a number of independent generators to the dimension of the related classical group. The symplectic quantum group $Sp_q(2)$ and supergroups $GL_q(1, 1)$ and $GL_q(2, 1)$ are considered as examples. Bibliography: 66 titles. 
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     author = {E. V. Damaskinsky and P. P. Kulish and M. A. Sokolov},
     title = {Gauss decomposition for quantum groups and supergroups},
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     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a12/}
}
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E. V. Damaskinsky; P. P. Kulish; M. A. Sokolov. Gauss decomposition for quantum groups and supergroups. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 13, Tome 224 (1995), pp. 155-177. http://geodesic.mathdoc.fr/item/ZNSL_1995_224_a12/