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

Abstract

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

References in corpus (3)

• The SU(n)_1 WZW Models: Spinon Decomposition and Yangian Structure
• Kostka Polynomials and Energy Functions in Solvable Lattice Models
• Demazure Modules and Perfect Crystals

Cited by in corpus (1)

• Exclusion statistics in conformal field theory and the UCPF for WZW models