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category_of_non-crossing_partitions_with_blocks_of_even_size [2020/06/23 13:44] d.gromada |
category_of_non-crossing_partitions_with_blocks_of_even_size [2021/11/23 11:56] (current) |
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* The name **set of all non-crossing partitions with blocks of even size** is to be taken literally. | * The name **set of all non-crossing partitions with blocks of even size** is to be taken literally. | ||
- | A partition with blocks of even size is in particular of even size itself. Moreover, such a partition, if additionally non-crossing, necessarily also has even distances between legs. | + | A partition with blocks of even size is in particular of even size itself. Moreover, such a partition, if additionally non-crossing, necessarily also has parity-balanced legs. |
===== Canonical generator ===== | ===== Canonical generator ===== |