Abstract
The RSK algorithm is introduced and used to find generating functions for permutation statistics. Connections are made to increasing subsequences in permutations and words and the Schur symmetric functions. A q-analogue of the hook length formula is proved, and the Hillman-Grassl algorithm is introduced.
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Mendes, A., Remmel, J. (2015). Counting with RSK. In: Counting with Symmetric Functions. Developments in Mathematics, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-319-23618-6_5
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DOI: https://doi.org/10.1007/978-3-319-23618-6_5
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