The number of d-balanced e-regular partitions of e-weight w in any block is given by an explicit binomial coefficient, independent of the e-core, obtained by showing preservation under crystal reflections and computing in RoCK blocks.
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Divisible Arm Lengths, Crystal Reflections, and Enumeration of Newly Found Decomposition Columns
The number of d-balanced e-regular partitions of e-weight w in any block is given by an explicit binomial coefficient, independent of the e-core, obtained by showing preservation under crystal reflections and computing in RoCK blocks.