• DOI:10.1016/j.jalgebra.2006.08.024
Corpus ID: 7250279

Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas

@article{Ardonne2007FusionPO,
  title={Fusion products of Kirillov-Reshetikhin modules and fermionic multiplicity formulas},
  author={E. Ardonne and R. Kedem},
  journal={Journal of Algebra},
  year={2007},
  volume={308},
  pages={270-294}
}

E. Ardonne, R. Kedem

Published 2007

Mathematics

Journal of Algebra

Abstract We give a complete description of the graded multiplicity space which appears in the Feigin–Loktev fusion product of graded Kirillov–Reshetikhin modules for all simple Lie algebras. This construction is used to obtain an upper bound formula for the fusion coefficients in these cases. The formula generalizes the case of g = A r of our previous paper, where the multiplicities are generalized Kostka polynomials. In the case of other Lie algebras, the formula is the fermionic side of the X… CONTINUE READING

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