Semistandard Young tableaux

1. Definition

A semistandard (Young) tableau of a partition $\lambda \vdash n $ is map from the cells (also known as boxes) of the Young diagram of $\lambda$, to the natural numbers, such that rows are weakly increasing and the columns are increasing. A semistandard tableau of size $n$ is a semistandard tableau of a partition of size $n$.

All standard (Young) tableaux are also semistandard. The set of semistandard tableaux are in bijection with Gelfand-Tsetlin patterns.

2. Examples

3. Properties

4. Remarks

5. Statistics

6. Maps

7. Known Statistical Dependencies

8. References

SemistandardTableaux (last edited 2014-12-07 17:10:57 by AyushiSaxena)