Citation
G. James et A. Mathas, The Jantzen sum formula for cyclotomic q-Schur algebras, T AM MATH S, 352(11), 2000, pp. 5381-5404
Citations number
17
Categorie Soggetti
Mathematics
Journal title
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN journal
00029947
→ ACNP
Volume
352
Issue
11
Year of publication
2000
Pages
5381 - 5404
Database
ISI
SICI code
0002-9947(2000)352:11<5381:TJSFFC>2.0.ZU;2-F
Abstract
The cyclotomic q-Schur algebra was introduced by Dipper, James and Mathas,
in order to provide a new tool for studying the Ariki-Koike algebra. We her
e prove an analogue of Jantzen's sum formula for the cyclotomic q-Schur alg
ebra. Among the applications is a criterion for certain Specht modules of t
he Ariki-Koike algebras to be irreducible.