A CONJECTURE FOR THE COMPUTATION OF THE DECOMPOSITION MATRICES OF THE HECKE ALGEBRAS OF TYPE-A AT ROOTS OF UNITY
Lascoux, Alain ; LECLERC, B ; Thibon, Jean-Yves
HAL, hal-00693521 / Harvested from HAL
Text on HAL
We exhibit a connection behaving rite combinatorics of the Hecke algebras as of type A at roots of unity, and the combinatorics of the crystal basis of the basic representation of the affine Lie algebras of type A((1)). In particular, we conjecture that the decomposition matrices of the algebras H-m ((n) root 1) are easily obtained from the global lower crystal basis of the basic representation ($) over cap sl(n).
Publié le : 1995-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph] 
@article{hal-00693521,
     author = {Lascoux, Alain and LECLERC, B and Thibon, Jean-Yves},
     title = {A CONJECTURE FOR THE COMPUTATION OF THE DECOMPOSITION MATRICES OF THE HECKE ALGEBRAS OF TYPE-A AT ROOTS OF UNITY},
     journal = {HAL},
     volume = {1995},
     number = {0},
     year = {1995},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00693521}
}

Lascoux, Alain; LECLERC, B; Thibon, Jean-Yves. A CONJECTURE FOR THE COMPUTATION OF THE DECOMPOSITION MATRICES OF THE HECKE ALGEBRAS OF TYPE-A AT ROOTS OF UNITY. HAL, Tome 1995 (1995) no. 0, . http://gdmltest.u-ga.fr/item/hal-00693521/