University Lecture Series 1998; 53 pp; softcover Volume: 12 ISBN10: 0821807706 ISBN13: 9780821807705 List Price: US$25 Member Price: US$20 Order Code: ULECT/12
 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 selfcontained introduction for anyone with some background in symmetric functions and root systems."  Zentralblatt MATH Table of Contents  Symmetric functions
 Orthogonal polynomials
 Postscript
 References
