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

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

2005-02-09

arxiv.org/abs/math-ph/0502033v1

Letts. in Math. Phys. 72 (2005), 83-97

Physics

Mathematical Physics

Scientific paper

10.1007/s11005-005-4381-0

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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