Transactions of the American Mathematical Society

Author(s): Gordon James; Andrew Mathas
Journal: Trans. Amer. Math. Soc. 352 (2000), 5381-5404.
MSC (2000): Primary 16G99; Secondary 20C20, 20G05
Posted: June 14, 2000
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The cyclotomic

-Schur algebra was introduced by Dipper, James and Mathas, in order to provide a new tool for studying the Ariki-Koike algebra. We here prove an analogue of Jantzen's sum formula for the cyclotomic

-Schur algebra. Among the applications is a criterion for certain Specht modules of the Ariki-Koike algebras to be irreducible.

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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 16G99, 20C20, 20G05

Gordon James
Affiliation: Department of Mathematics, Imperial College, Queen's Gate, London SW7 2BZ, United Kingdom
Email: g.james@ic.ac.uk

Andrew Mathas
Affiliation: School of Mathematics, University of Sydney, Sydney NSW 2006, Australia
Email: a.mathas@maths.usyd.edu.au

DOI: 10.1090/S0002-9947-00-02492-2
PII: S 0002-9947(00)02492-2
Received by editor(s): March 18, 1998
Received by editor(s) in revised form: December 1, 1998
Posted: June 14, 2000
Additional Notes: The authors would like to thank the Isaac Newton Institute for its hospitality. The second author also gratefully acknowledges the support of the Sonderforschungsbereich 343 at the Universität Bielefeld.
Copyright of article: Copyright 2000, American Mathematical Society

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