Kazhdan-lusztig Cells
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چکیده
These are notes for a talk on Kazhdan-Lusztig Cells for Hecke Algebras. In this talk, we construct the Kazhdan-Lusztig basis for the Hecke algebra associated to an arbitrary Coxeter group, in full multiparameter generality. We then use this basis to construct a partition of the Coxeter group into the Kazhdan-Lusztig cells and describe the corresponding cell representations. Finally, we specialize the construction to the case of the symmetric group. The main references for the talk are [Lus14, GJ11, Wil].
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