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Journal articles
A CONJECTURE FOR THE COMPUTATION OF THE DECOMPOSITION MATRICES OF THE HECKE ALGEBRAS OF TYPE-A AT ROOTS OF UNITY
Abstract : 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).
https://hal-upec-upem.archives-ouvertes.fr/hal-00693521
Contributor : Alain Lascoux Connect in order to contact the contributor
Submitted on : Wednesday, May 2, 2012 - 5:42:25 PM
Last modification on : Tuesday, October 19, 2021 - 11:26:19 AM
Contributor : Alain Lascoux Connect in order to contact the contributor
Submitted on : Wednesday, May 2, 2012 - 5:42:25 PM
Last modification on : Tuesday, October 19, 2021 - 11:26:19 AM