KOSTKA-FOULKES POLYNOMIALS AND CRYSTAL GRAPHS OF QUANTUM GROUPS OF TYPE A(N)
Lascoux, Alain ; LECLERC, B ; Thibon, Jean-Yves
HAL, hal-00693529 / Harvested from HAL
Text on HAL
We describe the Kostka-Foulkes polynomials K-lambda mu, (q), i.e. the q-analogues of weight multiplicities in the irreducible sl(n, C)-modules V-lambda, by means of the geometry of the crystal graph associated to V-lambda. We obtain in this way a refinement of the generalized exponents of sl(n, C).
Publié le : 1995-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693529,
     author = {Lascoux, Alain and LECLERC, B and Thibon, Jean-Yves},
     title = {KOSTKA-FOULKES POLYNOMIALS AND CRYSTAL GRAPHS OF QUANTUM GROUPS OF TYPE A(N)},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00693529}
}

Lascoux, Alain; LECLERC, B; Thibon, Jean-Yves. KOSTKA-FOULKES POLYNOMIALS AND CRYSTAL GRAPHS OF QUANTUM GROUPS OF TYPE A(N). HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693529/