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arxiv: math-ph/0502033 · v1 · submitted 2005-02-09 · 🧮 math-ph · math.MP

Polynomial Realization of sell_q(2) and Fusion Rules at Exceptional Values of q

classification 🧮 math-ph math.MP
keywords additionalgebracasecasescasimircomplexconjectureconstructed
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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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