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arXiv · math-ph/0502033

Polynomial Realization of $s\ell_q(2)$ and Fusion Rules at Exceptional Values of $q$

D. Karakhanyan·Sh. Khachatryan
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Abstract

Representations of the $s\ell_q(2)$ algebra are constructed in the space of polynomials of real (complex) variable for $q^N=1$. The spin addition rule based on eigenvalues of Casimir operator is illustrated on few simplest cases and conjecture for general case is formulated.

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D. Karakhanyan, Sh. Khachatryan. 2005-02-09. Polynomial Realization of $s\ell_q(2)$ and Fusion Rules at Exceptional Values of $q$. https://doi.org/10.1007/s11005-005-4381-0

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