check_YB: Check Young Baxter Equation
In quhomology: Calculation of Homology of Quandles, Racks, Biquandles and Biracks
Description
Usage
Arguments
Value
See Also
Description
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
$$S_1S_2S_1(a,b,c) = S_2S_1S_2(a,b,c)$$
Usage
1
check_YB(S, k, X)
Arguments
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.
Value
TRUE/FALSE
See Also
quhomology documentation built on May 1, 2019, 8:44 p.m.
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Description Usage Arguments Value See Also
Description
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 $$S_1S_2S_1(a,b,c) = S_2S_1S_2(a,b,c)$$
Usage
1 | check_YB(S, k, X)
|
Arguments
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. |
Value
TRUE/FALSE
See Also
R Package Documentation
Browse R Packages
We want your feedback!
Note that we can't provide technical support on individual packages. You should contact the package authors for that.
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