Fusion products, Kostka polynomials, and fermionic characters of su(r+1)_k
Ardonne, Eddy ; Kedem, Rinat ; Stone, Michael
arXiv, 0506071 / Harvested from arXiv
Text on arXiv
Using a form factor approach, we define and compute the character of the fusion product of rectangular representations of \hat{su}(r+1). This character decomposes into a sum of characters of irreducible representations, but with q-dependent coefficients. We identify these coefficients as (generalized) Kostka polynomials. Using this result, we obtain a formula for the characters of arbitrary integrable highest-weight representations of \hat{su}(r+1) in terms of the fermionic characters of the rectangular highest weight representations.
Publié le : 2005-06-28
Classification:  Mathematical Physics 
@article{0506071,
     author = {Ardonne, Eddy and Kedem, Rinat and Stone, Michael},
     title = {Fusion products, Kostka polynomials, and fermionic characters of
  su(r+1)\_k},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506071}
}

Ardonne, Eddy; Kedem, Rinat; Stone, Michael. Fusion products, Kostka polynomials, and fermionic characters of
  su(r+1)_k. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506071/