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Classical combinatorial concepts

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An Introduction to Quasisymmetric Schur Functions

Part of the book series: SpringerBriefs in Mathematics ((BRIEFSMATH))

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Abstract

In this chapter we begin by defining partially ordered sets, linear extensions, the dual of a poset, and the disjoint union of two posets. We then define further combinatorial objects we will need including compositions, partitions, diagrams and Young tableaux, reverse tableaux, Young’s lattice and Schensted insertion.

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References

  1. Fulton, W.: Young tableaux. With applications to representation theory and geometry. Cambridge University Press, Cambridge (1997)

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  3. Haglund, J., Luoto, K., Mason, S., van Willigenburg, S.: Quasisymmetric Schur functions. J. Combin. Theory Ser. A 118, 463–490 (2011)

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© 2013 Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg

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Luoto, K., Mykytiuk, S., van Willigenburg, S. (2013). Classical combinatorial concepts. In: An Introduction to Quasisymmetric Schur Functions. SpringerBriefs in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7300-8_2

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