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math.RT2004
A Construction of Coxeter Group Representations (II)
Ron M. Adin, Francesco Brenti, Yuval Roichman
An axiomatic approach to the representation theory of Coxeter groups and their Hecke algebras was presented in [1]. Combinatorial aspects of this construction are studied in this p…
math.CO2004
Signed Mahonians
Ron M. Adin, Ira M. Gessel, Yuval Roichman
A classical result of MacMahon gives a simple product formula for the generating function of major index over the symmetric group. A similar factorial-type product formula for the…