Asymptotic Hecke Algebras and Lusztig–Vogan Bijection via Affine Matrix-Ball Construction
نویسندگان
چکیده
Abstract The affine matrix-ball construction (abbreviated AMBC) was developed by Chmutov, Lewis, Pylyavskyy, and Yudovina as an generalization of the Robinson–Schensted correspondence. We show that AMBC gives a simple way to compute distinguished involution in each Kazhdan–Lusztig cell symmetric group. then use give 1st known canonical presentation for asymptotic Hecke algebras extended groups. As application, we conceptual Lusztig–Vogan bijection. For latter, build upon prior works Achar Rush.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2023
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab191