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non-group-theoretical_hyperoctahedral_categories_of_partitions [2020/04/18 07:21] amang [Associated easy quantum group] |
non-group-theoretical_hyperoctahedral_categories_of_partitions [2021/11/23 11:56] (current) |
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* where $Y_1$, $Y_2$ and $Y_3$ contain none of the letters $a_1,\ldots,a_k$. | * where $Y_1$, $Y_2$ and $Y_3$ contain none of the letters $a_1,\ldots,a_k$. | ||
- | Any such partition is necessarily of [[category of partitions of even size|even size]] and has [[category of partitions with blocks of even size and even distances between legs|even distances between legs]]. Moreover, if $l\leq 1$, then it is also [[category of all non-crossing partitions|non-crossing]]. | + | Any such partition is necessarily of [[category of partitions of even size|even size]] and has [[category of partitions with blocks of even size and even distances between legs|parity-balanced legs]]. Moreover, if $l\leq 1$, then it is also [[category of all non-crossing partitions|non-crossing]]. |
===== Canonical Generator ===== | ===== Canonical Generator ===== |