One of the most classical areas of algebra, the theory of symmetric functions and orthogonal polynomials has long been known to be connected to combinatorics, representation theory, and other branches of mathematics. Written by perhaps the most famous author on the topic, this volume explains some of the current developments regarding these connections. It is based on lectures presented by the author at Rutgers University. Specifically, he gives recent results on orthogonal polynomials associated with affine Hecke algebras, surveying the proofs of certain famous combinatorial conjectures.

Readership

Graduate students and research mathematicians interested in combinatorics.

Reviews

"Can serve as a self-contained introduction for anyone with some background in symmetric functions and root systems."

-- Zentralblatt MATH

Table of Contents

• Symmetric functions
• Orthogonal polynomials
• Postscript
• References