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- W2912338625 abstract "Affine matrix-ball construction (abbreviated AMBC) was developed by Chmutov, Lewis, Pylyavskyy, and Yudovina as an affine generalization of Robinson-Schensted correspondence. We show that AMBC gives a simple way to compute a distinguished (or Duflo) involution in each Kazhdan-Lusztig cell of affine symmetric groups. We then use AMBC to give the first known canonical presentation for the asymptotic Hecke algebras of extended affine symmetric groups. As an application, we show that AMBC gives a conceptual way to compute Lusztig-Vogan bijection. For the latter we build upon prior works of Achar and Rush." @default.
- W2912338625 created "2019-02-21" @default.
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- W2912338625 date "2019-02-18" @default.
- W2912338625 modified "2023-09-26" @default.
- W2912338625 title "Asymptotic Hecke algebras and Lusztig-Vogan bijection via affine matrix-ball construction" @default.
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- W2912338625 doi "https://doi.org/10.48550/arxiv.1902.06668" @default.
- W2912338625 hasPublicationYear "2019" @default.
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