Abstract
Chapter 22 will describe the partition of \(W={\mathfrak S}_n\) into left, right and two-sided cells in terms of the Robinson–Schensted–Knuth correspondence. This will be obtained as an application of the methods developed in Chapters 8 and 9 (parabolic induction, cellular maps, coplactic/Vogan classes).
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Bonnafé, C. (2017). The Symmetric Group. In: Kazhdan-Lusztig Cells with Unequal Parameters. Algebra and Applications, vol 24. Springer, Cham. https://doi.org/10.1007/978-3-319-70736-5_22
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DOI: https://doi.org/10.1007/978-3-319-70736-5_22
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