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Type $A$ admissible cells are Kazhdan–Lusztig

Type $A$ admissible cells are Kazhdan–Lusztig

Admissible W-graphs were defined and combinatorially characterized by Stembridge in []. The theory of admissible W-graphs was motivated by the need to construct W-graphs for Kazhdan–Lusztig cells, which play an important role in the representation theory of Hecke algebras, without computing Kazhdan–Lusztig polynomials. In this paper, we shall show that …