Description Usage Arguments Value See Also

This functions checks if the Young Baxter equation holds. In particular, for up and down actions, let there be a switch $S(a,b_a) = (b,a^b)$ and define $S_1(a,b,c)=(S(a,b),c)$ and $S_2(a,b,c)=(a,S(b,c))$. Then the Young Baxter equations are $$S_1S_2S_1(a,b,c) = S_2S_1S_2(a,b,c)$$

1 | ```
check_YB(S, k, X)
``` |

`S` |
All words of length 2 in a given set after up/down operation. |

`k` |
Order of set. |

`X` |
All words of length 2 in a given set. |

TRUE/FALSE

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