Fabrizio Caselli

Invariant Algebras and Major Indices For Classical Weyl Groups

Given a classical Weyl group

Proof of two conjectures of Zuber on fully packed loop configurations

W

Projective reflection groups

, that is, a Weyl group of type

Refined Gelfand models for wreath products

A

Proof of Two Conjectures of Brenti and Simion on Kazhdan-Lusztig Polynomials

,

Signed mahonians on some trees and parabolic quotients

B

Diamonds and Hecke algebra representations

or

Non-negativity properties of R -polynomials

D

The generalized lifting property of Bruhat intervals

, one can associate with it a polynomial with integral coefficients

Special matchings in Coxeter groups

Z_W