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stla committed Jul 17, 2024
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Expand Up @@ -251,15 +251,21 @@ its coefficients are not polynomials in the two parameters $q$ and $t$, but
ratios of polynomials.


### Combinatorics

The modules `Math.Combinatorics.Kostka` and `Math.Combinatorics.Tableaux`
appeared in version 1.4.6.0. They provide some functions to compute Kostka-Jack
numbers, possibly skew, to enumerate the semistandard Young tableaux with a
given shape and a given weight, possibly skew, and to enumerate
Gelfand-Tsetlin patterns.
The reason to include these modules in the package is that these functions
are used to compute the symmetric polynomials.
### Kostka-Jack numbers, Kostka-Foulkes polynomials, and Kostka-Macdonald polynomials

The package can also compute the Kostka-Jack numbers (i.e. Kostka numbers with
a Jack parameter), the Kostka-Foulkes polynomials (aka $t$-Kostka polynomials),
the Kostka-Macdonald polynomials (aka $qt$-Kostka polynomials), and the
Hall polynomials. Skew generalizations are also available: skew Kostka-Jack
numbers, skew Kostka-Foulkes polynomials, and skew Kostka-Macdonald polynomials.


### Semistandard Young tableaux and Gelfand-Tsetlin patterns

The package allows to enumerate the semistandard Young tableaux with a given
shape, possibly skew, and a given weight, and to enumerate Gelfand-Tsetlin
patterns defined by a skew partition.



## References
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