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We introduce abacus diagrams that describe minimal length cosetrepresentatives in affine Weyl groups of types B, C, and D. These abacusdiagrams use a realization of the affine Weyl group of type C due to Erikssonto generalize a construction of James for the symmetric group. We also describeseveral combinatorial models for these parabolic quotients that generalizeclassical results in affine type A related to core partitions.

Abacus models for parabolic quotients of affine Weyl groups