Cherednik algebras, Macdonald polynomials and combinatorics
Mark HaimanUniversity of California, Berkeley, USA
Download Chapter PDF
A subscription is required to access this book chapter.
In the ﬁrst part of this article we review the general theory of Cherednik algebras and non-symmetric Macdonald polynomials, including a formulation and proof of the fundamental duality theorem in its proper general context. In the last section we summarize some of the combinatorial results in this area which we have recently obtained in collaboration with J. Haglund and N. Loehr.