2 00 5 LUSZTIG ’ S a - FUNCTION IN TYPE B n IN THE ASYMPTOTIC CASE
نویسندگان
چکیده
In this paper, we study Lusztig's a-function for a Coxeter group with unequal parameters. We determine that function explicitly in the " asymptotic case " in type Bn, where the left cells have been determined in terms of a generalized Robinson–Schensted correspondence by Bonnafé and the second author. As a consequence, we can also show that all of Lusztig's conjectural properties (P1)–(P15) hold in this case, except possibly (P9), (P10) and (P15). Our methods rely on the " leading matrix coefficients " introduced by the first author.
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