Equating decomposition numbers for different primes

✍ Scribed by Gordon James; Andrew Mathas

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 192 KB
• Volume: 258
• Category: Article
• ISSN: 0021-8693
• DOI: 10.1016/s0021-8693(02)00644-0

✦ Synopsis

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.