Abstract
Quantum algebras were introduced at first in Refs.[1,2]. Then this concept was developed in details in Refs.[3,4] and in the papers of other authors (see for example [5–11] and the papers cited there). Because of deep analogy consisting between quantum and usual Lie algebras which is reflected in the fact that the quantum algebra A q (l,r) of order l and rank r transforms into usual Lie algebra A(l,r) in the limit q→1 a number of notations and theorems of the theory of Lie algebra representations can be transferred onto quantum algebras. In particular as it was shown in Refs [5–17] the q-analogs of well known quantities of Wigner-Racah algebra (WRA) (3j, 6j, 9j-symbols etc.) can be introduced. The detail investigation of the representation of quantum algebras was begun with the simplest quantum algebra SU q (2) that is a q-analog of the an-gular momentum theory (AMT) [18–21].
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Smirnov, Y.F., Tolstoy, V.N., Kharitonov, Y.I. (1991). Projection Operator Method and Q-Analog of Angular Momentum Theory. In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_24
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DOI: https://doi.org/10.1007/978-1-4615-3696-3_24
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