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category_of_partitions_with_blocks_of_even_size_and_even_distances_between_legs [2021/03/20 11:35] amang |
category_of_partitions_with_blocks_of_even_size_and_even_distances_between_legs [2021/11/23 11:56] (current) |
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===== Definition ===== | ===== Definition ===== | ||
- | By the **category of partitions with blocks of even size and even distances between legs** one denotes the subcategory of the [[category of all partitions]] $\Pscr$ whose morphism class is the //set of partitions with blocks of even size and even distances between legs//. It was introduced by Banica, Curran and Speicher in [(:ref:BanCuSp10)]. | + | By the **category of partitions with blocks of even size and parity-balanced legs** one denotes the subcategory of the [[category of all partitions]] $\Pscr$ whose morphism class is the //set of partitions with blocks of even size and even distances between legs//. It was introduced by Banica, Curran and Speicher in [(:ref:BanCuSp10)]. |
A partition $p\in \Pscr$ belongs to this set if the following conditions are met: | A partition $p\in \Pscr$ belongs to this set if the following conditions are met: |