Abstract
The cyclotomic q q -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 q q -Schur algebra. Among the applications is a criterion for certain Specht modules of the Ariki-Koike algebras to be irreducible.
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CITATION STYLE
APA
James, G., & Mathas, A. (2000). The Jantzen sum formula for cyclotomic 𝑞–Schur algebras. Transactions of the American Mathematical Society, 352(11), 5381–5404. https://doi.org/10.1090/s0002-9947-00-02492-2
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