Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 9, Tome 180 (1990), pp. 76-88
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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/
@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/}
}
TY - JOUR
AU - P. P. Kulish
TI - Clebsch-Gordan coefficients for the rank one quantum superalgebra. I
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1990
SP - 76
EP - 88
VL - 180
UR - http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a8/
LA - ru
ID - ZNSL_1990_180_a8
ER -
%0 Journal Article
%A P. P. Kulish
%T Clebsch-Gordan coefficients for the rank one quantum superalgebra. I
%J Zapiski Nauchnykh Seminarov POMI
%D 1990
%P 76-88
%V 180
%U http://geodesic.mathdoc.fr/item/ZNSL_1990_180_a8/
%G ru
%F ZNSL_1990_180_a8
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.
