Rapport de Recherche Litp /
Litp research reports
44 pages - Novembre/November 1995 - Document en anglais.
PostScript : Ko /Kb
Titre / Title: Hecke algebras at roots of unity and crystal bases of quantum affine algebras
Abstract : We present a fast algorithm for computing the global crystal basis of the basicUq(sln)-module. This algorithm is based on combinatorial techniques which have been developed for dealing with modular representations of symmetric groups, and more generally with representation of Hecke algebras of type A at roots of unity. We conjecture that, upon specialization q ->1, our algorithm computes the decomposition matrices of all Hecke algebras at a nth root of 1.
Publications internes Litp 1995 / Litp research reports 1995