Abstract
In order to state results in the next chapter, we extend many definitions from Chapter 2 to define composition diagrams, Young composition tableaux that correspond to Young tableaux, and the Young composition poset. We additionally define reverse composition diagrams, reverse composition tableaux that correspond to reverse tableaux, and the reverse composition poset. Finally, useful bijections between Young tableaux, Young composition tableaux, reverse tableaux and reverse composition tableaux are described.
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References
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© 2013 Kurt Luoto, Stefan Mykytiuk, Stephanie van Willigenburg
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Luoto, K., Mykytiuk, S., van Willigenburg, S. (2013). Composition tableaux and further 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_4
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DOI: https://doi.org/10.1007/978-1-4614-7300-8_4
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Online ISBN: 978-1-4614-7300-8
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