On $q$-Clebsch Gordan Rules and the Spinon Character Formulas for Affine $C_2^{(1)}$ Algebra

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A $q$-analog of the Clebsch Gordan rules for the tensor products of the fundamental representations of Yangian is introduced. Its relation to the crystal base theory and application to the spinon character formulas are discussed in case of $C_2^{(1)}$ explicitly.
16 pages, amslatex

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