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

Mathematics – Quantum Algebra

Scientific paper

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16 pages, amslatex

Scientific paper

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.

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