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Uglov bipartitions and extended Young diagrams
2019-03-04 · via math.CO updates on arXiv.org

We study the class of Uglov bipartitions and prove a generalization of a conjecture by Dipper, James and Murphy. We give two consequences concerning the computation of canonical bases in affine type A and the description of decomposition matrices for Hecke algebras of type Bn in arbitrary characteristic.