Clebsch-Gordan coefficients for the rank one quantum superalgebra. I
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 76-88
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The general definitions of quantum Lie superalgebras are given using $R$-matrices and defining relations with the Cartan matrices. The realization of the generators is presented in terms of the $q$-oscillators. The $osp_q(1/2)$ Clebsch-Gordan coefficients are calculated.
@article{ZNSL_1990_180_a8,
author = {P. P. Kulish},
title = {Clebsch-Gordan coefficients for the rank one quantum {superalgebra.~I}},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {76--88},
year = {1990},
volume = {180},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a8/}
}
P. P. Kulish. Clebsch-Gordan coefficients for the rank one quantum superalgebra. I. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 76-88. http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a8/