We construct by computer all W-graphs corresponding to irreducible
representations of Hecke algebras $H(q,n)$ for $n$ up to 15, using a
modification of a method proposed by Lascoux and Schützenberger
(which fails for $n>13$).
Publié le : 1995-05-14
Classification:
knot,
polynomial invariant,
Hecke algebra,
Young diagram,
W-graph,
20C30,
20C40,
57M15
@article{1062621143,
author = {Ochiai, Mitsuyuki and Kako, Fujio},
title = {Computational construction of {$W$}-graphs of Hecke algebras {$H(q,n)$} for {$n$} up to {$15$}},
journal = {Experiment. Math.},
volume = {4},
number = {4},
year = {1995},
pages = { 61-67},
language = {en},
url = {http://dml.mathdoc.fr/item/1062621143}
}
Ochiai, Mitsuyuki; Kako, Fujio. Computational construction of {$W$}-graphs of Hecke algebras {$H(q,n)$} for {$n$} up to {$15$}. Experiment. Math., Tome 4 (1995) no. 4, pp. 61-67. http://gdmltest.u-ga.fr/item/1062621143/