Séminaires : Groupes, Représentations et Géométrie

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In recent works, Abreu-Nigro and Xuhua He have introduced the term Lusztig variety. I like this term, as Lusztig has many papers about these varieties. In 1997 Halverson and I computed the number of points of Type A nilpotent Lusztig varieties over finite fields in connection to  characters of Hecke algebras. Recently my study of Macdonald polynomials and central elements in Hecke algebras have led me to look at these computations again.