Tutorial

OPEN SSYTableaux.Rproj

1. Source new_Package2.R

2. Shape <- c(3,3,1)

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This determines the shape of tableaux

3. Range <- 3

This determines elements filling tableau 3 is {-3,-2,-1,1,2,3}
You need to choose a proper range with respect to the shape carefully. Otherwise, it will occur error!!

4. D_tab <- DeConcini_Generator(Shape,Range)

Generating DeConcini tableaux given by the shape and range

5. K_tab <- King_Generator(Shape,Range)

Generating King tableaux given by the shape and range

6. D2K_tab <- D2K_Gen(D_tab,Range)

Bijection from DeConcini to King tableaux

7. D2K_tab <- D2K_Bijection(D_tab[[1]],Range)

When converting one tableau, you can use this function
where D_tab[[1]] indicates single De Concini tableau

8. KN_tab <- DtoKN_Gen(D_tab,Range)

Bijection from DeConcini to KN(Kashiwara-Nakashima) tableaux
When using this function, you should run Untitled1 first