Equating decomposition numbers for different primes

[摘要] This paper shows that certain decomposition numbers for the Iwahori-Hecke algebras of the symmetric groups and the q-Schur algebras at different roots of unity in characteristic zero are equal. To prove our results we first establish the corresponding theorem for the canonical basis of the level-one Fock space and then apply deep results of Ariki and Varagnolo-Vasserot. (C) 2002 Elsevier Science (USA). All rights reserved.

[发布日期] 2002-12-15