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arXiv · 2102.00770

James's Conjecture holds for blocks of $q$-Schur algebras of weights 3 and 4

Aaron Yi Rui Low
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Abstract

When the characteristic of the underlying field is at least 5, we prove that the adjustment matrix for blocks of $q$-Schur algebras of weights 3 and 4 is the identity matrix. Moreover, we show that the decomposition numbers for weight 3 blocks of $q$-Schur algebras are bounded above by one.

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BibTeXRIS

Aaron Yi Rui Low. 2021-02-01. James's Conjecture holds for blocks of $q$-Schur algebras of weights 3 and 4. https://arxiv.org/abs/2102.00770

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