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On decomposition numbers with Jantzen filtration of cyclotomic \(q\)-Schur algebras

On decomposition numbers with Jantzen filtration of cyclotomic \(q\)-Schur algebras

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2092508834

On decomposition numbers with Jantzen filtration of cyclotomic \(q\)-Schur algebras

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On decomposition numbers with Jantzen filtration of cyclotomic \(q\)-Schur algebras

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Ithaca: Cornell University Library, arXiv.org

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arXiv.org, 2007-07

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English

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Ithaca: Cornell University Library, arXiv.org

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Let \(\Sc(\vL)\) be the cyclotomic \(q\)-Schur algebra associated to the Ariki-Koike algebra \(\He_{n,r}\), introduced by Dipper-James-Mathas. In this paper, we consider \(v\)-decomposition numbers of \(\Sc(\vL)\), namely decomposition numbers with respect to the Jantzen filtrations of Weyl modules. We prove, as a \(v\)-analogue of the result obtai...

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On decomposition numbers with Jantzen filtration of cyclotomic \(q\)-Schur algebras

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TN_cdi_proquest_journals_2092508834

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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2092508834

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E-ISSN

2331-8422

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